972424607 has 64 divisors (see below), whose sum is σ = 1307059200. Its totient is φ = 707414400.

The previous prime is 972424601. The next prime is 972424619. The reversal of 972424607 is 706424279.

It is not a de Polignac number, because 972424607 - 2¹² = 972420511 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972424601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15941357 + ... + 15941417.

It is an arithmetic number, because the mean of its divisors is an integer number (20422800).

Almost surely, 2^972424607 is an apocalyptic number.

972424607 is a deficient number, since it is larger than the sum of its proper divisors (334634593).

972424607 is a wasteful number, since it uses less digits than its factorization.

972424607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 972424607 is about 31183.7234306617. The cubic root of 972424607 is about 990.7223945573.

The spelling of 972424607 in words is "nine hundred seventy-two million, four hundred twenty-four thousand, six hundred seven".