9972639 has 40 divisors (see below), whose sum is σ = 15995232. Its totient is φ = 6177600.

The previous prime is 9972631. The next prime is 9972649. The reversal of 9972639 is 9362799.

9972639 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 639 = 666.

It is not a de Polignac number, because 9972639 - 2³ = 9972631 is a prime.

Its product of digits (183708) is a multiple of the sum of its prime factors (189).

It is a junction number, because it is equal to n+sod(n) for n = 9972594 and 9972603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972631) 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 39 ways as a sum of consecutive naturals, for example, 98689 + ... + 98789.

Almost surely, 2^9972639 is an apocalyptic number.

9972639 is a deficient number, since it is larger than the sum of its proper divisors (6022593).

9972639 is a wasteful number, since it uses less digits than its factorization.

9972639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 9972639 is about 3157.9485429627. The cubic root of 9972639 is about 215.2467978982.

The spelling of 9972639 in words is "nine million, nine hundred seventy-two thousand, six hundred thirty-nine".