252700 has 54 divisors (see below), whose sum is σ = 661416. Its totient is φ = 82080.

The previous prime is 252691. The next prime is 252709. The reversal of 252700 is 7252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252691) and next prime (252709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252709) by changing a digit.

252700 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13291 + ... + 13309.

2²⁵²⁷⁰⁰ is an apocalyptic number.

252700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330708).

252700 is an abundant number, since it is smaller than the sum of its proper divisors (408716).

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

252700 is a wasteful number, since it uses less digits than its factorization.

252700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 252700 is about 502.6927491023. The cubic root of 252700 is about 63.2220267185. Note that the first 3 decimals are identical.

Adding to 252700 its reverse (7252), we get a palindrome (259952).

It can be divided in two parts, 252 and 700, that multiplied together give a square (176400 = 420²).

The spelling of 252700 in words is "two hundred fifty-two thousand, seven hundred".