206952 has 16 divisors (see below), whose sum is σ = 517440. Its totient is φ = 68976.

The previous prime is 206951. The next prime is 206953. The reversal of 206952 is 259602.

It is an interprime number because it is at equal distance from previous prime (206951) and next prime (206953).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8623 = 206952 / (2 + 0 + 6 + 9 + 5 + 2).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206952.

It is not an unprimeable number, because it can be changed into a prime (206951) by changing a digit.

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, 4288 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2²⁰⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

206952 is an abundant number, since it is smaller than the sum of its proper divisors (310488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206952 is a wasteful number, since it uses less digits than its factorization.

206952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 206952 is about 454.9197731469. The cubic root of 206952 is about 59.1502442905.

Subtracting 206952 from its reverse (259602), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 206952 in words is "two hundred six thousand, nine hundred fifty-two".