84825 has 36 divisors (see below), whose sum is σ = 169260. Its totient is φ = 40320.

The previous prime is 84811. The next prime is 84827. The reversal of 84825 is 52848.

It can be written as a sum of positive squares in 6 ways, for example, as 8649 + 76176 = 93^2 + 276^2 .

It is not a de Polignac number, because 84825 - 2⁴ = 84809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84827) 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, 2911 + ... + 2939.

2⁸⁴⁸²⁵ is an apocalyptic number.

It is an amenable number.

84825 is a deficient number, since it is larger than the sum of its proper divisors (84435).

84825 is a wasteful number, since it uses less digits than its factorization.

84825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 84825 is about 291.2473175842. The cubic root of 84825 is about 43.9381016687.

It can be divided in two parts, 84 and 825, that added together give a palindrome (909).

The spelling of 84825 in words is "eighty-four thousand, eight hundred twenty-five".