257117 has 8 divisors (see below), whose sum is σ = 306816. Its totient is φ = 210672.

The previous prime is 257107. The next prime is 257123. The reversal of 257117 is 711752.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257117 - 2⁶ = 257053 is a prime.

It is a super-2 number, since 2×257117² = 132218303378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257092 and 257101.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257117.

It is not an unprimeable number, because it can be changed into a prime (257107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (38352).

2²⁵⁷¹¹⁷ is an apocalyptic number.

It is an amenable number.

257117 is a deficient number, since it is larger than the sum of its proper divisors (49699).

257117 is a wasteful number, since it uses less digits than its factorization.

257117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627.

The product of its digits is 490, while the sum is 23.

The square root of 257117 is about 507.0670567095. The cubic root of 257117 is about 63.5882584498.

Adding to 257117 its reverse (711752), we get a palindrome (968869).

The spelling of 257117 in words is "two hundred fifty-seven thousand, one hundred seventeen".