972113977 has 8 divisors (see below), whose sum is σ = 996395400. Its totient is φ = 947859840.

The previous prime is 972113971. The next prime is 972113983. The reversal of 972113977 is 779311279.

972113977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (972113971) and next prime (972113983).

It can be written as a sum of positive squares in 4 ways, for example, as 160376896 + 811737081 = 12664^2 + 28491^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972113977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972113971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78399 + ... + 89947.

It is an arithmetic number, because the mean of its divisors is an integer number (124549425).

Almost surely, 2^972113977 is an apocalyptic number.

It is an amenable number.

972113977 is a deficient number, since it is larger than the sum of its proper divisors (24281423).

972113977 is a wasteful number, since it uses less digits than its factorization.

972113977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13643.

The product of its digits is 166698, while the sum is 46.

The square root of 972113977 is about 31178.7423896475. The cubic root of 972113977 is about 990.6168916491.

The spelling of 972113977 in words is "nine hundred seventy-two million, one hundred thirteen thousand, nine hundred seventy-seven".