84180625 has 15 divisors (see below), whose sum is σ = 105479517. Its totient is φ = 67161000.

The previous prime is 84180623. The next prime is 84180641. The reversal of 84180625 is 52608148.

The square root of 84180625 is 9175.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6599761 + 77580864 = 2569^2 + 8808^2 .

It is not a de Polignac number, because 84180625 - 2¹ = 84180623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84180623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 229192 + ... + 229558.

Almost surely, 2^84180625 is an apocalyptic number.

84180625 is the 9175-th square number.

84180625 is the 4588-th centered octagonal number.

It is an amenable number.

84180625 is a deficient number, since it is larger than the sum of its proper divisors (21298892).

84180625 is an frugal number, since it uses more digits than its factorization.

84180625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The cubic root of 84180625 is about 438.2655982439.

The spelling of 84180625 in words is "eighty-four million, one hundred eighty thousand, six hundred twenty-five".