262257 has 16 divisors (see below), whose sum is σ = 380160. Its totient is φ = 160272.

The previous prime is 262253. The next prime is 262261. The reversal of 262257 is 752262.

262257 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (262253) and next prime (262261).

It is not a de Polignac number, because 262257 - 2² = 262253 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 262257.

It is not an unprimeable number, because it can be changed into a prime (262253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2²⁶²²⁵⁷ is an apocalyptic number.

It is an amenable number.

262257 is a deficient number, since it is larger than the sum of its proper divisors (117903).

262257 is a wasteful number, since it uses less digits than its factorization.

262257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 1680, while the sum is 24.

The square root of 262257 is about 512.1103396730. The cubic root of 262257 is about 64.0091946425.

The spelling of 262257 in words is "two hundred sixty-two thousand, two hundred fifty-seven".