249557 has 12 divisors (see below), whose sum is σ = 317376. Its totient is φ = 194040.

The previous prime is 249541. The next prime is 249563. The reversal of 249557 is 755942.

It is not a de Polignac number, because 249557 - 2⁴ = 249541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (26448).

2²⁴⁹⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

249557 is a deficient number, since it is larger than the sum of its proper divisors (67819).

249557 is a wasteful number, since it uses less digits than its factorization.

249557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

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

The square root of 249557 is about 499.5568035769. The cubic root of 249557 is about 62.9588208262.

It can be divided in two parts, 2495 and 57, that added together give a palindrome (2552).

The spelling of 249557 in words is "two hundred forty-nine thousand, five hundred fifty-seven".