331000007 has 16 divisors (see below), whose sum is σ = 375889920. Its totient is φ = 288943200.

The previous prime is 331000001. The next prime is 331000009. The reversal of 331000007 is 700000133.

It is a happy number.

It is not a de Polignac number, because 331000007 - 2⁸ = 330999751 is a prime.

It is a super-2 number, since 2×331000007² = 219122009268000098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330999955 and 331000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224282 + ... + 225752.

It is an arithmetic number, because the mean of its divisors is an integer number (23493120).

Almost surely, 2^331000007 is an apocalyptic number.

331000007 is a deficient number, since it is larger than the sum of its proper divisors (44889913).

331000007 is a wasteful number, since it uses less digits than its factorization.

331000007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 331000007 is about 18193.4055910376. The cubic root of 331000007 is about 691.7396465372.

The spelling of 331000007 in words is "three hundred thirty-one million, seven", and thus it is an aban number.