30972007 has 24 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 25990800.

The previous prime is 30971989. The next prime is 30972041. The reversal of 30972007 is 70027903.

It is a happy number.

It is not a de Polignac number, because 30972007 - 2⁷ = 30971879 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30972047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86094 + ... + 86452.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^30972007 is an apocalyptic number.

30972007 is the 2783-rd decagonal number.

30972007 is a deficient number, since it is larger than the sum of its proper divisors (5799833).

30972007 is a wasteful number, since it uses less digits than its factorization.

30972007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 30972007 is about 5565.2499494632. The cubic root of 30972007 is about 314.0434812060.

The spelling of 30972007 in words is "thirty million, nine hundred seventy-two thousand, seven".