220972 has 6 divisors (see below), whose sum is σ = 386708. Its totient is φ = 110484.

The previous prime is 220939. The next prime is 220973. The reversal of 220972 is 279022.

It is not an unprimeable number, because it can be changed into a prime (220973) by changing a digit.

220972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27618 + ... + 27625.

2²²⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

220972 is a deficient number, since it is larger than the sum of its proper divisors (165736).

220972 is a wasteful number, since it uses less digits than its factorization.

220972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55247 (or 55245 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 220972 is about 470.0765895043. The cubic root of 220972 is about 60.4568825126.

Adding to 220972 its reverse (279022), we get a palindrome (499994).

The spelling of 220972 in words is "two hundred twenty thousand, nine hundred seventy-two".