873952 has 24 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 422400.

The previous prime is 873913. The next prime is 873959. The reversal of 873952 is 259378.

873952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873959) by changing a digit.

873952 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 3 ways as a sum of consecutive naturals, for example, 552 + ... + 1432.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2⁸⁷³⁹⁵² 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 873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

873952 is an abundant number, since it is smaller than the sum of its proper divisors (904160).

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

873952 is a wasteful number, since it uses less digits than its factorization.

873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 914 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 873952 is about 934.8539992961. The cubic root of 873952 is about 95.6083581332.

The spelling of 873952 in words is "eight hundred seventy-three thousand, nine hundred fifty-two".