208952 has 8 divisors (see below), whose sum is σ = 391800. Its totient is φ = 104472.

The previous prime is 208933. The next prime is 208961. The reversal of 208952 is 259802.

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

208952 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 as a sum of consecutive naturals, namely, 13052 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (48975).

2²⁰⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

208952 is a deficient number, since it is larger than the sum of its proper divisors (182848).

208952 is a wasteful number, since it uses less digits than its factorization.

208952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26125 (or 26121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 208952 is about 457.1126775752. The cubic root of 208952 is about 59.3401779196.

The spelling of 208952 in words is "two hundred eight thousand, nine hundred fifty-two".