207952 has 20 divisors (see below), whose sum is σ = 414036. Its totient is φ = 101120.

The previous prime is 207947. The next prime is 207953. The reversal of 207952 is 259702.

207952 is nontrivially palindromic in base 6.

207952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 197136 = 104^2 + 444^2 .

207952 is an undulating number in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207953) by changing a digit.

207952 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498 + ... + 814.

2²⁰⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

207952 is a deficient number, since it is larger than the sum of its proper divisors (206084).

207952 is a wasteful number, since it uses less digits than its factorization.

207952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 207952 is about 456.0175435222. The cubic root of 207952 is about 59.2453633313.

The spelling of 207952 in words is "two hundred seven thousand, nine hundred fifty-two".