972116883 has 36 divisors (see below), whose sum is σ = 1477141848. Its totient is φ = 638876160.

The previous prime is 972116861. The next prime is 972116897. The reversal of 972116883 is 388611279.

It is not a de Polignac number, because 972116883 - 2⁵ = 972116851 is a prime.

It is a super-2 number, since 2×972116883² = 1890022468427271378, which contains 22 as substring.

972116883 is a modest number, since divided by 116883 gives 972 as remainder.

It is not an unprimeable number, because it can be changed into a prime (972116843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1516243 + ... + 1516883.

It is an arithmetic number, because the mean of its divisors is an integer number (41031718).

Almost surely, 2^972116883 is an apocalyptic number.

972116883 is a deficient number, since it is larger than the sum of its proper divisors (505024965).

972116883 is an frugal number, since it uses more digits than its factorization.

972116883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 723 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 972116883 is about 31178.7889918772. The cubic root of 972116883 is about 990.6178787521.

It can be divided in two parts, 972 and 116883, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 972116883 in words is "nine hundred seventy-two million, one hundred sixteen thousand, eight hundred eighty-three".