257955 has 16 divisors (see below), whose sum is σ = 427680. Its totient is φ = 132608.

The previous prime is 257953. The next prime is 257981. The reversal of 257955 is 559752.

It is a cyclic number.

It is not a de Polignac number, because 257955 - 2¹ = 257953 is a prime.

It is a d-powerful number, because it can be written as 2 + 5 + 9⁵ + 7⁶ + 5⁵ + 5⁷ .

Its product of digits (15750) is a multiple of the sum of its prime divisors (630).

257955 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (257953) 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 15 ways as a sum of consecutive naturals, for example, 139 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2²⁵⁷⁹⁵⁵ is an apocalyptic number.

257955 is a deficient number, since it is larger than the sum of its proper divisors (169725).

257955 is a wasteful number, since it uses less digits than its factorization.

257955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its digits is 15750, while the sum is 33.

The square root of 257955 is about 507.8927052046. The cubic root of 257955 is about 63.6572661699.

The spelling of 257955 in words is "two hundred fifty-seven thousand, nine hundred fifty-five".