161972964 has 36 divisors (see below), whose sum is σ = 409878924. Its totient is φ = 53932032.

The previous prime is 161972933. The next prime is 161972971. The reversal of 161972964 is 469279161.

161972964 is a `hidden beast` number, since 1 + 619 + 7 + 29 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32012964 + 129960000 = 5658^2 + 11400^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41964 + ... + 45660.

Almost surely, 2^161972964 is an apocalyptic number.

It is an amenable number.

161972964 is an abundant number, since it is smaller than the sum of its proper divisors (247905960).

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

161972964 is a wasteful number, since it uses less digits than its factorization.

161972964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4919 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 161972964 is about 12726.8599426567. The cubic root of 161972964 is about 545.1058504388.

The spelling of 161972964 in words is "one hundred sixty-one million, nine hundred seventy-two thousand, nine hundred sixty-four".