389312 has 56 divisors (see below), whose sum is σ = 975360. Its totient is φ = 149760.

The previous prime is 389303. The next prime is 389357. The reversal of 389312 is 213983.

It is a tau number, because it is divible by the number of its divisors (56).

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 389312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4889 + ... + 4967.

2³⁸⁹³¹² is an apocalyptic number.

389312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

389312 is an abundant number, since it is smaller than the sum of its proper divisors (586048).

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

389312 is a wasteful number, since it uses less digits than its factorization.

389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 389312 is about 623.9487158413. The cubic root of 389312 is about 73.0184478303.

The spelling of 389312 in words is "three hundred eighty-nine thousand, three hundred twelve".