249738957 has 30 divisors (see below), whose sum is σ = 402590958. Its totient is φ = 153369936.

The previous prime is 249738943. The next prime is 249738971. The reversal of 249738957 is 759837942.

It is an interprime number because it is at equal distance from previous prime (249738943) and next prime (249738971).

It can be written as a sum of positive squares in only one way, i.e., 172896201 + 76842756 = 13149^2 + 8766^2 .

It is not a de Polignac number, because 249738957 - 2¹¹ = 249736909 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249738157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 512568 + ... + 513054.

Almost surely, 2^249738957 is an apocalyptic number.

249738957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

249738957 is a deficient number, since it is larger than the sum of its proper divisors (152852001).

249738957 is an frugal number, since it uses more digits than its factorization.

249738957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 503 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 249738957 is about 15803.1312403587. The cubic root of 249738957 is about 629.7411862068.

It can be divided in two parts, 24973 and 8957, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 249738957 in words is "two hundred forty-nine million, seven hundred thirty-eight thousand, nine hundred fifty-seven".