972167667 has 16 divisors (see below), whose sum is σ = 1342116000. Its totient is φ = 625205504.

The previous prime is 972167641. The next prime is 972167701. The reversal of 972167667 is 766761279.

It is a cyclic number.

It is not a de Polignac number, because 972167667 - 2¹² = 972163571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972167467) 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, 107809 + ... + 116477.

It is an arithmetic number, because the mean of its divisors is an integer number (83882250).

Almost surely, 2^972167667 is an apocalyptic number.

972167667 is a deficient number, since it is larger than the sum of its proper divisors (369948333).

972167667 is a wasteful number, since it uses less digits than its factorization.

972167667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990.

The product of its digits is 1333584, while the sum is 51.

The square root of 972167667 is about 31179.6033810567. The cubic root of 972167667 is about 990.6351286197.

The spelling of 972167667 in words is "nine hundred seventy-two million, one hundred sixty-seven thousand, six hundred sixty-seven".