249362001 has 48 divisors (see below), whose sum is σ = 438931584. Its totient is φ = 133166592.

The previous prime is 249361949. The next prime is 249362017. The reversal of 249362001 is 100263942.

It is not a de Polignac number, because 249362001 - 2¹⁰ = 249360977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249362081) 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 47 ways as a sum of consecutive naturals, for example, 167406 + ... + 168888.

It is an arithmetic number, because the mean of its divisors is an integer number (9144408).

Almost surely, 2^249362001 is an apocalyptic number.

249362001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249362001 is a deficient number, since it is larger than the sum of its proper divisors (189569583).

249362001 is a wasteful number, since it uses less digits than its factorization.

249362001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 249362001 is about 15791.2001127210. The cubic root of 249362001 is about 629.4241828608.

The spelling of 249362001 in words is "two hundred forty-nine million, three hundred sixty-two thousand, one".