206972 has 12 divisors (see below), whose sum is σ = 368760. Its totient is φ = 101616.

The previous prime is 206953. The next prime is 206993. The reversal of 206972 is 279602.

206972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2³ + 0 + 9⁵ + 6² + 7⁵ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (30730).

2²⁰⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

206972 is a deficient number, since it is larger than the sum of its proper divisors (161788).

206972 is a wasteful number, since it uses less digits than its factorization.

206972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 206972 is about 454.9417545137. The cubic root of 206972 is about 59.1521496708.

The spelling of 206972 in words is "two hundred six thousand, nine hundred seventy-two".