84525 has 36 divisors (see below), whose sum is σ = 169632. Its totient is φ = 36960.

The previous prime is 84523. The next prime is 84533. The reversal of 84525 is 52548.

84525 = 14² + 15² + ... + 63².

It is not a de Polignac number, because 84525 - 2¹ = 84523 is a prime.

84525 is a Rhonda number in base 6.

Its product of digits (1600) is a multiple of the sum of its prime factors (50).

It is a junction number, because it is equal to n+sod(n) for n = 84495 and 84504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3664 + ... + 3686.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁸⁴⁵²⁵ is an apocalyptic number.

It is an amenable number.

84525 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

84525 is a wasteful number, since it uses less digits than its factorization.

84525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 84525 is about 290.7318352021. The cubic root of 84525 is about 43.8862419549.

It can be divided in two parts, 84 and 525, that multiplied together give a square (44100 = 210²).

The spelling of 84525 in words is "eighty-four thousand, five hundred twenty-five".