827752 has 16 divisors (see below), whose sum is σ = 1568160. Its totient is φ = 409584.

The previous prime is 827741. The next prime is 827767. The reversal of 827752 is 257728.

It is an unprimeable number.

827752 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, 373 + ... + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (98010).

2⁸²⁷⁷⁵² is an apocalyptic number.

It is an amenable number.

827752 is a deficient number, since it is larger than the sum of its proper divisors (740408).

827752 is a wasteful number, since it uses less digits than its factorization.

827752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 827752 is about 909.8087711162. The cubic root of 827752 is about 93.8930426732.

The spelling of 827752 in words is "eight hundred twenty-seven thousand, seven hundred fifty-two".