249031965 has 96 divisors (see below), whose sum is σ = 507911040. Its totient is φ = 103251456.

The previous prime is 249031957. The next prime is 249032011. The reversal of 249031965 is 569130942.

It is not a de Polignac number, because 249031965 - 2³ = 249031957 is a prime.

It is a super-2 number, since 2×249031965² = 124033839183522450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639991 + ... + 640379.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^249031965 is an apocalyptic number.

It is an amenable number.

249031965 is an abundant number, since it is smaller than the sum of its proper divisors (258879075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249031965 is a wasteful number, since it uses less digits than its factorization.

249031965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 249031965 is about 15780.7466553392. The cubic root of 249031965 is about 629.1463747579.

The spelling of 249031965 in words is "two hundred forty-nine million, thirty-one thousand, nine hundred sixty-five".