86825 has 12 divisors (see below), whose sum is σ = 113088. Its totient is φ = 66000.

The previous prime is 86813. The next prime is 86837. The reversal of 86825 is 52868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86813) and next prime (86837).

It is not a de Polignac number, because 86825 - 2¹² = 82729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (9424).

2⁸⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

86825 is a deficient number, since it is larger than the sum of its proper divisors (26263).

86825 is a wasteful number, since it uses less digits than its factorization.

86825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 86825 is about 294.6608219632. The cubic root of 86825 is about 44.2807461847.

The spelling of 86825 in words is "eighty-six thousand, eight hundred twenty-five".