90801 has 20 divisors (see below), whose sum is σ = 145200. Its totient is φ = 56376.

The previous prime is 90793. The next prime is 90803. The reversal of 90801 is 10809.

It is not a de Polignac number, because 90801 - 2³ = 90793 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (90803) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1510 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (7260).

2⁹⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

90801 is a deficient number, since it is larger than the sum of its proper divisors (54399).

90801 is a wasteful number, since it uses less digits than its factorization.

90801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 90801 is about 301.3320427701. The cubic root of 90801 is about 44.9466033316.

The spelling of 90801 in words is "ninety thousand, eight hundred one".