257129 has 4 divisors (see below), whose sum is σ = 258180. Its totient is φ = 256080.

The previous prime is 257123. The next prime is 257141. The reversal of 257129 is 921752.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 133225 + 123904 = 365^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 257129 - 2⁸ = 256873 is a prime.

It is a super-2 number, since 2×257129² = 132230645282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257098 and 257107.

It is not an unprimeable number, because it can be changed into a prime (257123) 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, 59 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (64545).

2²⁵⁷¹²⁹ is an apocalyptic number.

It is an amenable number.

257129 is a deficient number, since it is larger than the sum of its proper divisors (1051).

257129 is an equidigital number, since it uses as much as digits as its factorization.

257129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050.

The product of its digits is 1260, while the sum is 26.

The square root of 257129 is about 507.0788893259. The cubic root of 257129 is about 63.5892476846.

It can be divided in two parts, 257 and 129, that multiplied together give a triangular number (33153 = T₂₅₇).

The spelling of 257129 in words is "two hundred fifty-seven thousand, one hundred twenty-nine".