823752 has 48 divisors (see below), whose sum is σ = 2365740. Its totient is φ = 258048.

The previous prime is 823747. The next prime is 823759. The reversal of 823752 is 257328.

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 2916 = 906^2 + 54^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (823759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888 + ... + 1560.

2⁸²³⁷⁵² 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 823752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182870).

823752 is an abundant number, since it is smaller than the sum of its proper divisors (1541988).

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

823752 is a wasteful number, since it uses less digits than its factorization.

823752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 695 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 823752 is about 907.6078448317. The cubic root of 823752 is about 93.7415565729.

The spelling of 823752 in words is "eight hundred twenty-three thousand, seven hundred fifty-two".