203252 has 36 divisors (see below), whose sum is σ = 445284. Its totient is φ = 80640.

The previous prime is 203249. The next prime is 203279. The reversal of 203252 is 252302.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 132496 = 266^2 + 364^2 .

It is a super-2 number, since 2×203252² = 82622751008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203252.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3302 + ... + 3362.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2²⁰³²⁵² 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 203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222642).

203252 is an abundant number, since it is smaller than the sum of its proper divisors (242032).

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

203252 is a wasteful number, since it uses less digits than its factorization.

203252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 203252 is about 450.8347812669. The cubic root of 203252 is about 58.7956156973.

Adding to 203252 its reverse (252302), we get a palindrome (455554).

The spelling of 203252 in words is "two hundred three thousand, two hundred fifty-two".