331998007 has 16 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 298832800.

The previous prime is 331997971. The next prime is 331998011. The reversal of 331998007 is 700899133.

It is a cyclic number.

It is not a de Polignac number, because 331998007 - 2¹⁹ = 331473719 is a prime.

It is a super-2 number, since 2×331998007² = 220445353303944098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331998047) 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 15 ways as a sum of consecutive naturals, for example, 770082 + ... + 770512.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^331998007 is an apocalyptic number.

331998007 is a deficient number, since it is larger than the sum of its proper divisors (33785033).

331998007 is a wasteful number, since it uses less digits than its factorization.

331998007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 331998007 is about 18220.8124681640. The cubic root of 331998007 is about 692.4341716936.

The spelling of 331998007 in words is "three hundred thirty-one million, nine hundred ninety-eight thousand, seven".