252738 has 24 divisors (see below), whose sum is σ = 577200. Its totient is φ = 79704.

The previous prime is 252737. The next prime is 252761. The reversal of 252738 is 837252.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252738.

It is not an unprimeable number, because it can be changed into a prime (252731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (24050).

2²⁵²⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288600).

252738 is an abundant number, since it is smaller than the sum of its proper divisors (324462).

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

252738 is a wasteful number, since it uses less digits than its factorization.

252738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 763 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 252738 is about 502.7305441288. The cubic root of 252738 is about 63.2251955835.

It can be divided in two parts, 25273 and 8, that added together give a square (25281 = 159²).

The spelling of 252738 in words is "two hundred fifty-two thousand, seven hundred thirty-eight".