203952 has 40 divisors (see below), whose sum is σ = 603136. Its totient is φ = 58176.

The previous prime is 203947. The next prime is 203953. The reversal of 203952 is 259302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203953) by changing a digit.

203952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 639.

2²⁰³⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301568).

203952 is an abundant number, since it is smaller than the sum of its proper divisors (399184).

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

203952 is a wasteful number, since it uses less digits than its factorization.

203952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 203952 is about 451.6104516062. The cubic root of 203952 is about 58.8630357358.

The spelling of 203952 in words is "two hundred three thousand, nine hundred fifty-two".