752982 has 8 divisors (see below), whose sum is σ = 1505976. Its totient is φ = 250992.

The previous prime is 752977. The next prime is 752993. The reversal of 752982 is 289257.

It is a sphenic number, since it is the product of 3 distinct primes.

752982 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 752982.

It is an unprimeable number.

752982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62743 + ... + 62754.

It is an arithmetic number, because the mean of its divisors is an integer number (188247).

2⁷⁵²⁹⁸² is an apocalyptic number.

752982 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

752982 is a wasteful number, since it uses less digits than its factorization.

752982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125502.

The product of its digits is 10080, while the sum is 33.

The square root of 752982 is about 867.7453543523. The cubic root of 752982 is about 90.9762849284.

The spelling of 752982 in words is "seven hundred fifty-two thousand, nine hundred eighty-two".