90375 has 16 divisors (see below), whose sum is σ = 151008. Its totient is φ = 48000.

The previous prime is 90373. The next prime is 90379. The reversal of 90375 is 57309.

It is not a de Polignac number, because 90375 - 2¹ = 90373 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90375.

It is not an unprimeable number, because it can be changed into a prime (90371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (9438).

2⁹⁰³⁷⁵ is an apocalyptic number.

90375 is a deficient number, since it is larger than the sum of its proper divisors (60633).

90375 is a wasteful number, since it uses less digits than its factorization.

90375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 90375 is about 300.6243503111. The cubic root of 90375 is about 44.8762029509.

It can be divided in two parts, 90 and 375, that added together give a triangular number (465 = T₃₀).

The spelling of 90375 in words is "ninety thousand, three hundred seventy-five".