389752 has 32 divisors (see below), whose sum is σ = 823680. Its totient is φ = 171360.

The previous prime is 389749. The next prime is 389761. The reversal of 389752 is 257983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3733 + ... + 3835.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

389752 is a Friedman number, since it can be written as 5^8-97*3^2, using all its digits and the basic arithmetic operations.

2³⁸⁹⁷⁵² 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 389752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840).

389752 is an abundant number, since it is smaller than the sum of its proper divisors (433928).

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

389752 is a wasteful number, since it uses less digits than its factorization.

389752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 389752 is about 624.3012093533. The cubic root of 389752 is about 73.0459459303.

Subtracting from 389752 its reverse (257983), we obtain a square (131769 = 363²).

The spelling of 389752 in words is "three hundred eighty-nine thousand, seven hundred fifty-two".