84521164 has 48 divisors (see below), whose sum is σ = 184161600. Its totient is φ = 33048576.

The previous prime is 84521153. The next prime is 84521179. The reversal of 84521164 is 46112548.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31092 + ... + 33700.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^84521164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84521164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080800).

84521164 is an abundant number, since it is smaller than the sum of its proper divisors (99640436).

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

84521164 is a wasteful number, since it uses less digits than its factorization.

84521164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 84521164 is about 9193.5392531930. The cubic root of 84521164 is about 438.8557804812.

The spelling of 84521164 in words is "eighty-four million, five hundred twenty-one thousand, one hundred sixty-four".