22791 has 8 divisors (see below), whose sum is σ = 31104. Its totient is φ = 14840.

The previous prime is 22787. The next prime is 22807. The reversal of 22791 is 19722.

It is a happy number.

22791 is a nontrivial binomial coefficient, being equal to C(214, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22791 - 2² = 22787 is a prime.

It is an Ulam number.

22791 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22721) 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 7 ways as a sum of consecutive naturals, for example, 160 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2²²⁷⁹¹ is an apocalyptic number.

22791 is the 213-rd triangular number and also the 107-th hexagonal number.

22791 is a deficient number, since it is larger than the sum of its proper divisors (8313).

22791 is a wasteful number, since it uses less digits than its factorization.

22791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 252, while the sum is 21.

The square root of 22791 is about 150.9668837858. The cubic root of 22791 is about 28.3522672368.

The spelling of 22791 in words is "twenty-two thousand, seven hundred ninety-one".