90125 has 16 divisors (see below), whose sum is σ = 129792. Its totient is φ = 61200.

The previous prime is 90121. The next prime is 90127. The reversal of 90125 is 52109.

90125 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 90125 - 2² = 90121 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2⁹⁰¹²⁵ is an apocalyptic number.

It is an amenable number.

90125 is a deficient number, since it is larger than the sum of its proper divisors (39667).

90125 is a wasteful number, since it uses less digits than its factorization.

90125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 90125 is about 300.2082610456. The cubic root of 90125 is about 44.8347851120.

Multiplying 90125 by its sum of digits (17), we get a triangular number (1532125 = T₁₇₅₀).

The spelling of 90125 in words is "ninety thousand, one hundred twenty-five".