22761 has 10 divisors (see below), whose sum is σ = 34122. Its totient is φ = 15120.

The previous prime is 22751. The next prime is 22769. The reversal of 22761 is 16722.

It is a happy number.

22761 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 2025 = 144^2 + 45^2 .

It is not a de Polignac number, because 22761 - 2⁶ = 22697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22769) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60 + ... + 221.

2²²⁷⁶¹ is an apocalyptic number.

22761 is the 81-st nonagonal number.

It is an amenable number.

22761 is a deficient number, since it is larger than the sum of its proper divisors (11361).

22761 is an equidigital number, since it uses as much as digits as its factorization.

22761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 22761 is about 150.8674915282. The cubic root of 22761 is about 28.3398216590.

The spelling of 22761 in words is "twenty-two thousand, seven hundred sixty-one".