36125 has 12 divisors (see below), whose sum is σ = 47892. Its totient is φ = 27200.

The previous prime is 36109. The next prime is 36131. The reversal of 36125 is 52163.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3364 + 32761 = 58^2 + 181^2 .

It is not a de Polignac number, because 36125 - 2⁴ = 36109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent 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, 2117 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (3991).

2³⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

36125 is a deficient number, since it is larger than the sum of its proper divisors (11767).

36125 is an equidigital number, since it uses as much as digits as its factorization.

36125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 22 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 36125 is about 190.0657780875. The cubic root of 36125 is about 33.0574450923.

Multiplying 36125 by its sum of digits (17), we get a cube (614125 = 85³).

Multiplying 36125 by its product of digits (180), we get a square (6502500 = 2550²).

Adding to 36125 its reverse (52163), we get a palindrome (88288).

It can be divided in two parts, 361 and 25, that multiplied together give a square (9025 = 95²).

The spelling of 36125 in words is "thirty-six thousand, one hundred twenty-five".