3165984 has 36 divisors (see below), whose sum is σ = 9004086. Its totient is φ = 1055232.

The previous prime is 3165971. The next prime is 3165991. The reversal of 3165984 is 4895613.

3165984 = T₂₈₂ + T₂₈₃ + ... + T₃₄₅.

3165984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3027600 + 138384 = 1740^2 + 372^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5209 + ... + 5784.

Almost surely, 2^3165984 is an apocalyptic number.

It is an amenable number.

3165984 is an abundant number, since it is smaller than the sum of its proper divisors (5838102).

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

3165984 is a wasteful number, since it uses less digits than its factorization.

3165984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 10998 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3165984 is about 1779.3212188922. The cubic root of 3165984 is about 146.8372487253.

The spelling of 3165984 in words is "three million, one hundred sixty-five thousand, nine hundred eighty-four".