212972 has 12 divisors (see below), whose sum is σ = 383040. Its totient is φ = 103536.

The previous prime is 212969. The next prime is 212981. The reversal of 212972 is 279212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2²¹²⁹⁷² is an apocalyptic number.

It is an amenable number.

212972 is a deficient number, since it is larger than the sum of its proper divisors (170068).

212972 is a wasteful number, since it uses less digits than its factorization.

212972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 212972 is about 461.4888947743. The cubic root of 212972 is about 59.7183092042.

The spelling of 212972 in words is "two hundred twelve thousand, nine hundred seventy-two".