249957 has 6 divisors (see below), whose sum is σ = 361062. Its totient is φ = 166632.

The previous prime is 249947. The next prime is 249967. The reversal of 249957 is 759942.

249957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249947) and next prime (249967).

It can be written as a sum of positive squares in only one way, i.e., 224676 + 25281 = 474^2 + 159^2 .

It is a de Polignac number, because none of the positive numbers 2^k-249957 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249957.

It is not an unprimeable number, because it can be changed into a prime (249947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13878 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (60177).

2²⁴⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

249957 is a deficient number, since it is larger than the sum of its proper divisors (111105).

249957 is a wasteful number, since it uses less digits than its factorization.

249957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27779 (or 27776 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 249957 is about 499.9569981508. The cubic root of 249957 is about 62.9924405140.

It can be divided in two parts, 2499 and 57, that added together give a triangular number (2556 = T₇₁).

The spelling of 249957 in words is "two hundred forty-nine thousand, nine hundred fifty-seven".