90875 has 8 divisors (see below), whose sum is σ = 113568. Its totient is φ = 72600.

The previous prime is 90863. The next prime is 90887. The reversal of 90875 is 57809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90863) and next prime (90887).

It is not a de Polignac number, because 90875 - 2⁸ = 90619 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (14196).

2⁹⁰⁸⁷⁵ is an apocalyptic number.

90875 is a deficient number, since it is larger than the sum of its proper divisors (22693).

90875 is an equidigital number, since it uses as much as digits as its factorization.

90875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 90875 is about 301.4548058997. The cubic root of 90875 is about 44.9588100456.

The spelling of 90875 in words is "ninety thousand, eight hundred seventy-five".