84625 has 8 divisors (see below), whose sum is σ = 105768. Its totient is φ = 67600.

The previous prime is 84589. The next prime is 84629. The reversal of 84625 is 52648.

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 82944 = 41^2 + 288^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84625 is a prime.

It is a super-2 number, since 2×84625² = 14322781250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84625.

It is not an unprimeable number, because it can be changed into a prime (84629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (13221).

2⁸⁴⁶²⁵ is an apocalyptic number.

It is an amenable number.

84625 is a deficient number, since it is larger than the sum of its proper divisors (21143).

84625 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 11 representation: 84625 = (58642)₁₁.

84625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 84625 is about 290.9037641558. The cubic root of 84625 is about 43.9035421408.

The spelling of 84625 in words is "eighty-four thousand, six hundred twenty-five".