842952 has 64 divisors (see below), whose sum is σ = 2396160. Its totient is φ = 244800.

The previous prime is 842951. The next prime is 842957. The reversal of 842952 is 259248.

842952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842952.

It is not an unprimeable number, because it can be changed into a prime (842951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8133 + ... + 8235.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁸⁴²⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198080).

842952 is an abundant number, since it is smaller than the sum of its proper divisors (1553208).

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

842952 is a wasteful number, since it uses less digits than its factorization.

842952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 842952 is about 918.1241746082. The cubic root of 842952 is about 94.4642792123.

The spelling of 842952 in words is "eight hundred forty-two thousand, nine hundred fifty-two".