252774 has 32 divisors (see below), whose sum is σ = 583680. Its totient is φ = 81000.

The previous prime is 252767. The next prime is 252779. The reversal of 252774 is 477252.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 252774.

It is not an unprimeable number, because it can be changed into a prime (252779) by changing a digit.

252774 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 15 ways as a sum of consecutive naturals, for example, 1599 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2²⁵²⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291840).

252774 is an abundant number, since it is smaller than the sum of its proper divisors (330906).

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

252774 is a wasteful number, since it uses less digits than its factorization.

252774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 252774 is about 502.7663473225. The cubic root of 252774 is about 63.2281973732.

It can be divided in two parts, 25277 and 4, that added together give a square (25281 = 159²).

The spelling of 252774 in words is "two hundred fifty-two thousand, seven hundred seventy-four".