84084512 has 18 divisors (see below), whose sum is σ = 165643569. Its totient is φ = 42016320.

The previous prime is 84084491. The next prime is 84084523. The reversal of 84084512 is 21548048.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 6574096 = 8804^2 + 2564^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6484.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51062 + ... + 52682.

Almost surely, 2^84084512 is an apocalyptic number.

It is an amenable number.

84084512 is a deficient number, since it is larger than the sum of its proper divisors (81559057).

84084512 is an frugal number, since it uses more digits than its factorization.

84084512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 84084512 is about 9169.7607384271. The cubic root of 84084512 is about 438.0987385384.

Multiplying 84084512 by its sum of digits (32), we get a square (2690704384 = 51872²).

84084512 divided by its sum of digits (32) gives a square (2627641 = 1621²).

Subtracting from 84084512 its reverse (21548048), we obtain a square (62536464 = 7908²).

The spelling of 84084512 in words is "eighty-four million, eighty-four thousand, five hundred twelve".