805952 has 42 divisors (see below), whose sum is σ = 1867662. Its totient is φ = 344064.

The previous prime is 805933. The next prime is 805967. The reversal of 805952 is 259508.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 3136 = 896^2 + 56^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3008 + ... + 3264.

2⁸⁰⁵⁹⁵² 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 805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933831).

805952 is an abundant number, since it is smaller than the sum of its proper divisors (1061710).

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

805952 is a wasteful number, since it uses less digits than its factorization.

805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 805952 is about 897.7482943454. The cubic root of 805952 is about 93.0614308741.

The spelling of 805952 in words is "eight hundred five thousand, nine hundred fifty-two".