90525 has 24 divisors (see below), whose sum is σ = 160704. Its totient is φ = 44800.

The previous prime is 90523. The next prime is 90527. The reversal of 90525 is 52509.

90525 is a nontrivial binomial coefficient, being equal to C(426, 2).

It is an interprime number because it is at equal distance from previous prime (90523) and next prime (90527).

It is not a de Polignac number, because 90525 - 2¹ = 90523 is a prime.

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

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁹⁰⁵²⁵ is an apocalyptic number.

90525 is the 425-th triangular number and also the 213-rd hexagonal number.

It is an amenable number.

90525 is a deficient number, since it is larger than the sum of its proper divisors (70179).

90525 is a wasteful number, since it uses less digits than its factorization.

90525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 90525 is about 300.8737276666. The cubic root of 90525 is about 44.9010170023.

The spelling of 90525 in words is "ninety thousand, five hundred twenty-five".