972314667 has 48 divisors (see below), whose sum is σ = 1473691648. Its totient is φ = 617258880.

The previous prime is 972314647. The next prime is 972314669. The reversal of 972314667 is 766413279.

It is not a de Polignac number, because 972314667 - 2¹⁵ = 972281899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972314669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3587742 + ... + 3588012.

Almost surely, 2^972314667 is an apocalyptic number.

972314667 is a deficient number, since it is larger than the sum of its proper divisors (501376981).

972314667 is a wasteful number, since it uses less digits than its factorization.

972314667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 972314667 is about 31181.9606022457. The cubic root of 972314667 is about 990.6850569155.

The spelling of 972314667 in words is "nine hundred seventy-two million, three hundred fourteen thousand, six hundred sixty-seven".