383712 has 48 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 109440.

The previous prime is 383693. The next prime is 383723. The reversal of 383712 is 217383.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 383712.

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, 387 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2³⁸³⁷¹² is an apocalyptic number.

383712 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 383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576).

383712 is an abundant number, since it is smaller than the sum of its proper divisors (769440).

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

383712 is a wasteful number, since it uses less digits than its factorization.

383712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 383712 is about 619.4449128050. Note that the first 3 decimals coincide. The cubic root of 383712 is about 72.6666479627. Note that the first 4 decimals are identical.

The spelling of 383712 in words is "three hundred eighty-three thousand, seven hundred twelve".