852992 has 66 divisors (see below), whose sum is σ = 2100222. Its totient is φ = 344064.

The previous prime is 852989. The next prime is 852997. The reversal of 852992 is 299258.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 50176 = 896^2 + 224^2 .

It is not an unprimeable number, because it can be changed into a prime (852997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50168 + ... + 50184.

2⁸⁵²⁹⁹² 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 852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050111).

852992 is an abundant number, since it is smaller than the sum of its proper divisors (1247230).

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

852992 is a wasteful number, since it uses less digits than its factorization.

852992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 26 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 852992 is about 923.5756601384. The cubic root of 852992 is about 94.8378397014.

The spelling of 852992 in words is "eight hundred fifty-two thousand, nine hundred ninety-two".