813852 has 72 divisors (see below), whose sum is σ = 2323776. Its totient is φ = 238464.

The previous prime is 813847. The next prime is 813863. The reversal of 813852 is 258318.

It is a happy number.

813852 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17293 + ... + 17339.

2⁸¹³⁸⁵² 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 813852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161888).

813852 is an abundant number, since it is smaller than the sum of its proper divisors (1509924).

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

813852 is a wasteful number, since it uses less digits than its factorization.

813852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 813852 is about 902.1374618095. The cubic root of 813852 is about 93.3645077268.

The spelling of 813852 in words is "eight hundred thirteen thousand, eight hundred fifty-two".