Number of the day: 73457

Properties of the number 73457:

73457 is a cyclic number.
73457 = 17 × 29 × 149 is a sphenic number and squarefree.
73457 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 66304 totatives.
73457 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 73457 results in a prime.
73457 = (48 × 49)/2 + … + (81 × 82)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
73457 = 36729² - 36728² = 2169² - 2152² = 1281² - 1252² = 321² - 172² is the difference of 2 nonnegative squares in 4 ways.
73457 is the difference of 2 positive pentagonal numbers in 4 ways.
73457 = 89² + 256² = 4² + 271² = 184² + 199² = 124² + 241² is the sum of 2 positive squares in 4 ways.
73457 = 14² + 19² + 270² is the sum of 3 positive squares.
73457² = 34568² + 64815² = 10295² + 72732² = 49068² + 54665² = 23095² + 69732² = 2168² + 73425² = 45568² + 57615² = 19668² + 70775² = 5745² + 73232² = 42705² + 59768² = 50660² + 53193² = 29393² + 67320² = 32640² + 65807² = 25143² + 69020² is the sum of 2 positive squares in 13 ways.
73457² is the sum of 3 positive squares.
73457 is a proper divisor of 701²⁸ - 1.
73457 = '7' + '3457' is the concatenation of 2 prime numbers.
73457 = '734' + '57' is the concatenation of 2 semiprime numbers.
73457 is palindromic in (at least) the following bases: 2, and 42.
73457 in base 42 = fQf and consists of only the digits 'Q' and 'f'.
73457 in base 56 = NNf and consists of only the digits 'N' and 'f'.

The number 73457 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A090508: Least number beginning with prime(n) such that every concatenation is a prime.
A253131: Number of length 3+2 0..n arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero