971616965 has 16 divisors (see below), whose sum is σ = 1338880320. Its totient is φ = 669438720.

The previous prime is 971616937. The next prime is 971616983. The reversal of 971616965 is 569616179.

It is not a de Polignac number, because 971616965 - 2⁶ = 971616901 is a prime.

It is a super-2 number, since 2×971616965² = 1888079053351622450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 463844 + ... + 465933.

It is an arithmetic number, because the mean of its divisors is an integer number (83680020).

Almost surely, 2^971616965 is an apocalyptic number.

971616965 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

971616965 is a deficient number, since it is larger than the sum of its proper divisors (367263355).

971616965 is a wasteful number, since it uses less digits than its factorization.

971616965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929812.

The product of its digits is 612360, while the sum is 50.

The square root of 971616965 is about 31170.7710042597. The cubic root of 971616965 is about 990.4480388789.

The spelling of 971616965 in words is "nine hundred seventy-one million, six hundred sixteen thousand, nine hundred sixty-five".