90825 has 24 divisors (see below), whose sum is σ = 172608. Its totient is φ = 41280.

The previous prime is 90823. The next prime is 90833. The reversal of 90825 is 52809.

It is not a de Polignac number, because 90825 - 2¹ = 90823 is a prime.

90825 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 90795 and 90804.

It is not an unprimeable number, because it can be changed into a prime (90821) 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, 439 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (7192).

2⁹⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

90825 is a deficient number, since it is larger than the sum of its proper divisors (81783).

90825 is a wasteful number, since it uses less digits than its factorization.

90825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90825 is about 301.3718633184. The cubic root of 90825 is about 44.9505629923.

The spelling of 90825 in words is "ninety thousand, eight hundred twenty-five".