22772 has 6 divisors (see below), whose sum is σ = 39858. Its totient is φ = 11384.

The previous prime is 22769. The next prime is 22777. The reversal of 22772 is 27722.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 7396 = 124^2 + 86^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2843 + ... + 2850.

It is an arithmetic number, because the mean of its divisors is an integer number (6643).

2²²⁷⁷² is an apocalyptic number.

It is an amenable number.

22772 is a deficient number, since it is larger than the sum of its proper divisors (17086).

22772 is a wasteful number, since it uses less digits than its factorization.

22772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5695 counting only the distinct ones).

The product of its digits is 392, while the sum is 20.

The square root of 22772 is about 150.9039429571. The cubic root of 22772 is about 28.3443863066.

Subtracting 22772 from its reverse (27722), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 2277 and 2, that multiplied together give a palindrome (4554).

The spelling of 22772 in words is "twenty-two thousand, seven hundred seventy-two", and thus it is an iban number.