383152 has 40 divisors (see below), whose sum is σ = 928512. Its totient is φ = 148800.

The previous prime is 383147. The next prime is 383153. The reversal of 383152 is 251383.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (383153) by changing a digit.

383152 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 7 ways as a sum of consecutive naturals, for example, 1077 + ... + 1387.

2³⁸³¹⁵² 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 383152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

383152 is an abundant number, since it is smaller than the sum of its proper divisors (545360).

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

383152 is a wasteful number, since it uses less digits than its factorization.

383152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 383152 is about 618.9927301673. The cubic root of 383152 is about 72.6312801736.

Subtracting from 383152 its reverse (251383), we obtain a square (131769 = 363²).

It can be divided in two parts, 3831 and 52, that added together give a palindrome (3883).

The spelling of 383152 in words is "three hundred eighty-three thousand, one hundred fifty-two".