200952 has 24 divisors (see below), whose sum is σ = 544440. Its totient is φ = 66960.

The previous prime is 200929. The next prime is 200971. The reversal of 200952 is 259002.

200952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1324 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (22685).

2²⁰⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

200952 is an abundant number, since it is smaller than the sum of its proper divisors (343488).

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

200952 is a wasteful number, since it uses less digits than its factorization.

200952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 200952 is about 448.2767002645. The cubic root of 200952 is about 58.5729967570.

Adding to 200952 its reverse (259002), we get a palindrome (459954).

The spelling of 200952 in words is "two hundred thousand, nine hundred fifty-two".