252642 has 32 divisors (see below), whose sum is σ = 564480. Its totient is φ = 74880.

The previous prime is 252641. The next prime is 252667. The reversal of 252642 is 246252.

It is not an unprimeable number, because it can be changed into a prime (252641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3159 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²⁵²⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

252642 is an abundant number, since it is smaller than the sum of its proper divisors (311838).

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

252642 is a wasteful number, since it uses less digits than its factorization.

252642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 960, while the sum is 21.

The square root of 252642 is about 502.6350564774. The cubic root of 252642 is about 63.2171894171.

Adding to 252642 its reverse (246252), we get a palindrome (498894).

The spelling of 252642 in words is "two hundred fifty-two thousand, six hundred forty-two".