42952 has 32 divisors (see below), whose sum is σ = 100800. Its totient is φ = 16704.

The previous prime is 42943. The next prime is 42953. The reversal of 42952 is 25924.

It is a happy number.

42952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42953) by changing a digit.

42952 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, 699 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁴²⁹⁵² is an apocalyptic number.

42952 is the 104-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

42952 is an abundant number, since it is smaller than the sum of its proper divisors (57848).

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

42952 is a wasteful number, since it uses less digits than its factorization.

42952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 42952 is about 207.2486429389. The cubic root of 42952 is about 35.0209398505.

The spelling of 42952 in words is "forty-two thousand, nine hundred fifty-two".