257954 has 8 divisors (see below), whose sum is σ = 391068. Its totient is φ = 127600.

The previous prime is 257953. The next prime is 257981. The reversal of 257954 is 459752.

It can be written as a sum of positive squares in 2 ways, for example, as 223729 + 34225 = 473^2 + 185^2 .

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

It is a super-2 number, since 2×257954² = 133080532232, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 5⁵ + 9⁵ + 7⁶ + 5⁷ + 4 .

It is a self number, because there is not a number n which added to its sum of digits gives 257954.

It is not an unprimeable number, because it can be changed into a prime (257953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 437 + ... + 840.

2²⁵⁷⁹⁵⁴ is an apocalyptic number.

257954 is a deficient number, since it is larger than the sum of its proper divisors (133114).

257954 is a wasteful number, since it uses less digits than its factorization.

257954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380.

The product of its digits is 12600, while the sum is 32.

The square root of 257954 is about 507.8917207437. The cubic root of 257954 is about 63.6571839109.

Multiplying 257954 by its sum of digits (32), we get a palindrome (8254528).

The spelling of 257954 in words is "two hundred fifty-seven thousand, nine hundred fifty-four".