42252 has 24 divisors (see below), whose sum is σ = 112896. Its totient is φ = 12048.

The previous prime is 42239. The next prime is 42257. The reversal of 42252 is 25224.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42252.

It is not an unprimeable number, because it can be changed into a prime (42257) by changing a digit.

42252 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 7 ways as a sum of consecutive naturals, for example, 168 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁴²²⁵² is an apocalyptic number.

42252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42252 is the 168-th pentagonal number.

It is an amenable number.

42252 is an abundant number, since it is smaller than the sum of its proper divisors (70644).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

42252 is a wasteful number, since it uses less digits than its factorization.

42252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

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

The square root of 42252 is about 205.5529128959. The cubic root of 42252 is about 34.8296484023.

Adding to 42252 its reverse (25224), we get a palindrome (67476).

It can be divided in two parts, 422 and 52, that added together give a palindrome (474).

The spelling of 42252 in words is "forty-two thousand, two hundred fifty-two".