Number of the day: 3137

Bartel Leendert van der Waerden was born on this day 116 years ago.

Properties of the number 3137:

3137 is a cyclic number.
3137 is the 446^th prime.
3137 has 15 antidivisors and 3136 totatives.
3137 has a semiprime digit sum 14 in base 10.
3137 has sum of divisors equal to 3138 which is a sphenic number.
Reversing the decimal digits of 3137 results in a semiprime.
3137 = 1569² - 1568² is the difference of 2 nonnegative squares in 1 way.
3137 is the difference of 2 positive pentagonal numbers in 1 way.
3137 = 1² + 56² is the sum of 2 positive squares in 1 way.
3137 = 12² + 17² + 52² is the sum of 3 positive squares.
3137² = 112² + 3135² is the sum of 2 positive squares in 1 way.
3137² is the sum of 3 positive squares.
3137 is a proper divisor of 1949⁷ - 1.
3137 = '3' + '137' is the concatenation of 2 prime numbers.
3137 is an emirp in (at least) the following bases: 2, 3, 9, 11, 13, 15, 19, 20, 24, 29, 32, 35, 42, 44, 45, 53, 54, 59, 61, 64, 65, 66, 71, 75, 76, 79, 80, 81, 84, 85, 88, 89, 91, 94, 95, and 99.
3137 is palindromic in (at least) the following bases: 33, 49, 56, -21, -27, -55, -56, -64, and -98.
3137 in base 33 = 2t2 and consists of only the digits '2' and 't'.
3137 in base 39 = 22H and consists of only the digits '2' and 'H'.
3137 in base 48 = 1HH and consists of only the digits '1' and 'H'.
3137 in base 49 = 1F1 and consists of only the digits '1' and 'F'.
3137 in base 55 = 122 and consists of only the digits '1' and '2'.
3137 in base 56 = 101 and consists of only the digits '0' and '1'.

The number 3137 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002496: Primes of the form n^2 + 1.
A014442: Largest prime factor of n^2 + 1.
A024770: Right-truncatable primes: every prefix is prime.
A033548: Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.
A053755: a(n) = 4*n^2 + 1.
A056109: Fifth spoke of a hexagonal spiral.
A069489: Primes > 1000 in which every substring of length 3 is also prime.
A146348: Primes p such that continued fraction of (1+sqrt(p))/2 has period 3.
A211685: Prime numbers > 1000 such that all the substrings of length >= 3 are primes (substrings with leading '0' are considered to be nonprime).
A215991: Primes that are the sum of 25 consecutive primes.