257623 has 6 divisors (see below), whose sum is σ = 269864. Its totient is φ = 245916.

The previous prime is 257611. The next prime is 257627. The reversal of 257623 is 326752.

257623 = T₈₂ + T₈₃ + ... + T₁₂₇.

It is not a de Polignac number, because 257623 - 2⁵ = 257591 is a prime.

It is a super-2 number, since 2×257623² = 132739220258, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2² + 5⁴ + 6⁶ + 7⁵ + 2¹⁴ + 3¹¹ .

It is a Duffinian number.

257623 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286 + ... + 772.

2²⁵⁷⁶²³ is an apocalyptic number.

257623 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

257623 is a deficient number, since it is larger than the sum of its proper divisors (12241).

257623 is an equidigital number, since it uses as much as digits as its factorization.

257623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 510 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 257623 is about 507.5657592864. The cubic root of 257623 is about 63.6299444978.

The spelling of 257623 in words is "two hundred fifty-seven thousand, six hundred twenty-three".