252042 has 32 divisors (see below), whose sum is σ = 611712. Its totient is φ = 67584.

The previous prime is 252037. The next prime is 252079. The reversal of 252042 is 240252.

252042 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

252042 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, 538 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (19116).

2²⁵²⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305856).

252042 is an abundant number, since it is smaller than the sum of its proper divisors (359670).

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

252042 is a wasteful number, since it uses less digits than its factorization.

252042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 252042 is about 502.0378471789. The cubic root of 252042 is about 63.1671048703.

Adding to 252042 its reverse (240252), we get a palindrome (492294).

The spelling of 252042 in words is "two hundred fifty-two thousand, forty-two".