84138512 has 40 divisors (see below), whose sum is σ = 169911000. Its totient is φ = 40312832.

The previous prime is 84138499. The next prime is 84138521. The reversal of 84138512 is 21583148.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 83247376 = 944^2 + 9124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68528 + ... + 69744.

It is an arithmetic number, because the mean of its divisors is an integer number (4247775).

Almost surely, 2^84138512 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 84138512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84955500).

84138512 is an abundant number, since it is smaller than the sum of its proper divisors (85772488).

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

84138512 is a wasteful number, since it uses less digits than its factorization.

84138512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 84138512 is about 9172.7047265242. The cubic root of 84138512 is about 438.1925024147.

The spelling of 84138512 in words is "eighty-four million, one hundred thirty-eight thousand, five hundred twelve".