1972164879 has 12 divisors (see below), whose sum is σ = 2849117232. Its totient is φ = 1314576000.

The previous prime is 1972164853. The next prime is 1972164889. The reversal of 1972164879 is 9784612791.

It is not a de Polignac number, because 1972164879 - 2⁵ = 1972164847 is a prime.

It is a super-2 number, since 2×1972164879² = 7778868619922169282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972164889) 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 11 ways as a sum of consecutive naturals, for example, 68319 + ... + 92799.

It is an arithmetic number, because the mean of its divisors is an integer number (237426436).

Almost surely, 2^1972164879 is an apocalyptic number.

1972164879 is a deficient number, since it is larger than the sum of its proper divisors (876952353).

1972164879 is a wasteful number, since it uses less digits than its factorization.

1972164879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33438 (or 33435 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 1972164879 is about 44409.0630277199. The cubic root of 1972164879 is about 1254.0487130333.

The spelling of 1972164879 in words is "one billion, nine hundred seventy-two million, one hundred sixty-four thousand, eight hundred seventy-nine".