971607972 has 12 divisors (see below), whose sum is σ = 2267085296. Its totient is φ = 323869320.

The previous prime is 971607971. The next prime is 971607979. The reversal of 971607972 is 279706179.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (971607971) 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 3 ways as a sum of consecutive naturals, for example, 40483654 + ... + 40483677.

Almost surely, 2^971607972 is an apocalyptic number.

It is an amenable number.

971607972 is an abundant number, since it is smaller than the sum of its proper divisors (1295477324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

971607972 is a wasteful number, since it uses less digits than its factorization.

971607972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80967338 (or 80967336 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The square root of 971607972 is about 31170.6267501954. The cubic root of 971607972 is about 990.4449831045. Note that the first 3 decimals are identical.

The spelling of 971607972 in words is "nine hundred seventy-one million, six hundred seven thousand, nine hundred seventy-two".