249902961 has 32 divisors (see below), whose sum is σ = 418034688. Its totient is φ = 129003840.

The previous prime is 249902959. The next prime is 249902977. The reversal of 249902961 is 169209942.

It is not a de Polignac number, because 249902961 - 2¹ = 249902959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249902911) 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 31 ways as a sum of consecutive naturals, for example, 34335 + ... + 40971.

It is an arithmetic number, because the mean of its divisors is an integer number (13063584).

Almost surely, 2^249902961 is an apocalyptic number.

249902961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249902961 is a deficient number, since it is larger than the sum of its proper divisors (168131727).

249902961 is a wasteful number, since it uses less digits than its factorization.

249902961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 249902961 is about 15808.3193603874. The cubic root of 249902961 is about 629.8790067468.

The spelling of 249902961 in words is "two hundred forty-nine million, nine hundred two thousand, nine hundred sixty-one".