22801 has 3 divisors (see below), whose sum is σ = 22953. Its totient is φ = 22650.

The previous prime is 22787. The next prime is 22807. The reversal of 22801 is 10822.

22801 = T₁₅₀ + T₁₅₁.

The square root of 22801 is 151.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 22801 - 2⁵ = 22769 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (22807) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 76 + ... + 226.

It is an arithmetic number, because the mean of its divisors is an integer number (7651).

2²²⁸⁰¹ is an apocalyptic number.

22801 is the 151-st square number.

22801 is the 96-th centered pentagonal number and also the 76-th centered octagonal number.

It is an amenable number.

22801 is a deficient number, since it is larger than the sum of its proper divisors (152).

22801 is an frugal number, since it uses more digits than its factorization.

22801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The cubic root of 22801 is about 28.3564133357.

The spelling of 22801 in words is "twenty-two thousand, eight hundred one".