Number of the day: 3457

Properties of the number 3457:

3457 is a cyclic number.
3457 is the 483^th prime.
3457 has 9 antidivisors and 3456 totatives.
3457 has a prime digit sum 19 in base 10.
3457 has an oblong digit product 420 in base 10.
Reversing the decimal digits of 3457 results in a semiprime.
3457 = 1³ + 12³ + 12³ = 9³ + 10³ + 12³ is the sum of 3 positive cubes in 2 ways.
3457 = 1729² - 1728² is the difference of 2 nonnegative squares in 1 way.
3457 is the sum of 2 positive triangular numbers.
3457 is the difference of 2 positive pentagonal numbers in 1 way.
3457 = 39² + 44² is the sum of 2 positive squares in 1 way.
3457 = 10² + 21² + 54² is the sum of 3 positive squares.
3457² = 415² + 3432² is the sum of 2 positive squares in 1 way.
3457² is the sum of 3 positive squares.
3457 is a proper divisor of 1741⁸ - 1.
3457 = '3' + '457' is the concatenation of 2 prime numbers.
3457 = '34' + '57' is the concatenation of 2 semiprime numbers.
3457 is an emirp in (at least) the following bases: 3, 4, 11, 16, 17, 31, 35, 41, 47, 50, 52, 56, 61, 62, 67, 71, 75, 76, 79, 83, 88, and 99.
3457 is palindromic in (at least) the following bases: 48, 54, -23, -64, -72, and -96.
3457 in base 22 = 733 and consists of only the digits '3' and '7'.
3457 in base 41 = 22D and consists of only the digits '2' and 'D'.
3457 in base 47 = 1QQ and consists of only the digits '1' and 'Q'.
3457 in base 48 = 1O1 and consists of only the digits '1' and 'O'.
3457 in base 53 = 1CC and consists of only the digits '1' and 'C'.
3457 in base 54 = 1A1 and consists of only the digits '1' and 'A'.
3457 in base 58 = 11Z and consists of only the digits '1' and 'Z'.

The number 3457 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001126: Primes with 7 as smallest primitive root.
A002534: a(n) = 2*a(n-1) + 9*a(n-2).
A005109: Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.
A022005: Initial members of prime triples (p, p+4, p+6).
A022007: Initial members of prime quintuplets (p, p+4, p+6, p+10, p+12).
A052378: Primes followed by a [4,2,4] prime difference pattern of A001223.
A058383: Primes of form 1+(2^a)*(3^b), a>0, b>0.
A086140: Primes p such that three (the maximum number) primes occur between p and p+12.
A128347: Numbers n such that (11^n - 5^n)/6 is prime.
A164294: Primes prime(k) such that all integers in [(prime(k-1)+1)/2,(prime(k)-1)/2] are composite, excluding those primes in A080359.