257144 has 8 divisors (see below), whose sum is σ = 482160. Its totient is φ = 128568.

The previous prime is 257141. The next prime is 257161. The reversal of 257144 is 441752.

Added to its reverse (441752) it gives a square (698896 = 836²).

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×257144² = 132246073472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257141) 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 as a sum of consecutive naturals, namely, 16064 + ... + 16079.

It is an arithmetic number, because the mean of its divisors is an integer number (60270).

2²⁵⁷¹⁴⁴ is an apocalyptic number.

It is an amenable number.

257144 is a deficient number, since it is larger than the sum of its proper divisors (225016).

257144 is a wasteful number, since it uses less digits than its factorization.

257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32149 (or 32145 counting only the distinct ones).

The product of its digits is 1120, while the sum is 23.

The square root of 257144 is about 507.0936797082. The cubic root of 257144 is about 63.5904841847.

Adding to 257144 its reverse (441752), we get a palindrome (698896).

The spelling of 257144 in words is "two hundred fifty-seven thousand, one hundred forty-four".