972666279 has 32 divisors (see below), whose sum is σ = 1558737600. Its totient is φ = 595900800.

The previous prime is 972666257. The next prime is 972666287.

It is a happy number.

972666279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972666279 - 2²⁴ = 955889063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972616279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74329 + ... + 86429.

It is an arithmetic number, because the mean of its divisors is an integer number (48710550).

Almost surely, 2^972666279 is an apocalyptic number.

972666279 is a deficient number, since it is larger than the sum of its proper divisors (586071321).

972666279 is a wasteful number, since it uses less digits than its factorization.

972666279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12346 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 972666279 is about 31187.5981601662. The cubic root of 972666279 is about 990.8044609128.

The spelling of 972666279 in words is "nine hundred seventy-two million, six hundred sixty-six thousand, two hundred seventy-nine".