86125 has 16 divisors (see below), whose sum is σ = 117936. Its totient is φ = 62400.

The previous prime is 86117. The next prime is 86131. The reversal of 86125 is 52168.

86125 = T₄₆ + T₄₇ + ... + T₈₄.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 51529 = 186^2 + 227^2 .

It is not a de Polignac number, because 86125 - 2³ = 86117 is a prime.

It is an Ulam number.

86125 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 86096 and 86105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599 + ... + 1651.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁸⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

86125 is a deficient number, since it is larger than the sum of its proper divisors (31811).

86125 is a wasteful number, since it uses less digits than its factorization.

86125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 86125 is about 293.4706118166. The cubic root of 86125 is about 44.1614249545.

The spelling of 86125 in words is "eighty-six thousand, one hundred twenty-five".