972316953 has 40 divisors (see below), whose sum is σ = 1511628800. Its totient is φ = 622157760.

The previous prime is 972316949. The next prime is 972316979. The reversal of 972316953 is 359613279.

972316953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972316953 - 2² = 972316949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972316899 and 972316908.

It is not an unprimeable number, because it can be changed into a prime (972311953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 317373 + ... + 320421.

It is an arithmetic number, because the mean of its divisors is an integer number (37790720).

Almost surely, 2^972316953 is an apocalyptic number.

972316953 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

972316953 is a deficient number, since it is larger than the sum of its proper divisors (539311847).

972316953 is a wasteful number, since it uses less digits than its factorization.

972316953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3210 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 972316953 is about 31181.9972580334. The cubic root of 972316953 is about 990.6858333117.

The spelling of 972316953 in words is "nine hundred seventy-two million, three hundred sixteen thousand, nine hundred fifty-three".