972808279 has 2 divisors, whose sum is σ = 972808280. Its totient is φ = 972808278.

The previous prime is 972808229. The next prime is 972808301.

972808279 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972808279 is a prime.

It is a super-5 number, since 5×972808279⁵ (a number of 46 digits) contains 55555 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972808229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486404139 + 486404140.

It is an arithmetic number, because the mean of its divisors is an integer number (486404140).

Almost surely, 2^972808279 is an apocalyptic number.

972808279 is a deficient number, since it is larger than the sum of its proper divisors (1).

972808279 is an equidigital number, since it uses as much as digits as its factorization.

972808279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 52.

The square root of 972808279 is about 31189.8746230247. The cubic root of 972808279 is about 990.8526745672.

It can be divided in two parts, 9728082 and 79, that added together give a square (9728161 = 3119²).

The spelling of 972808279 in words is "nine hundred seventy-two million, eight hundred eight thousand, two hundred seventy-nine".