208972 has 12 divisors (see below), whose sum is σ = 370440. Its totient is φ = 103136.

The previous prime is 208963. The next prime is 208991. The reversal of 208972 is 279802.

It is a self number, because there is not a number n which added to its sum of digits gives 208972.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 63 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2²⁰⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

208972 is a deficient number, since it is larger than the sum of its proper divisors (161468).

208972 is a wasteful number, since it uses less digits than its factorization.

208972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 208972 is about 457.1345534960. The cubic root of 208972 is about 59.3420711226.

The spelling of 208972 in words is "two hundred eight thousand, nine hundred seventy-two".