257137 has 4 divisors (see below), whose sum is σ = 262656. Its totient is φ = 251620.

The previous prime is 257123. The next prime is 257141. The reversal of 257137 is 731752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257137 is a prime.

It is a super-2 number, since 2×257137² = 132238873538, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2689 + ... + 2782.

It is an arithmetic number, because the mean of its divisors is an integer number (65664).

2²⁵⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

257137 is a deficient number, since it is larger than the sum of its proper divisors (5519).

257137 is an equidigital number, since it uses as much as digits as its factorization.

257137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518.

The product of its digits is 1470, while the sum is 25.

The square root of 257137 is about 507.0867775835. The cubic root of 257137 is about 63.5899071573.

Adding to 257137 its reverse (731752), we get a palindrome (988889).

The spelling of 257137 in words is "two hundred fifty-seven thousand, one hundred thirty-seven".