386172 has 36 divisors (see below), whose sum is σ = 1035216. Its totient is φ = 120960.

The previous prime is 386161. The next prime is 386173. The reversal of 386172 is 271683.

386172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386173) by changing a digit.

386172 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (28756).

2³⁸⁶¹⁷² 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 386172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517608).

386172 is an abundant number, since it is smaller than the sum of its proper divisors (649044).

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

386172 is a wasteful number, since it uses less digits than its factorization.

386172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 386172 is about 621.4273891614. The cubic root of 386172 is about 72.8216073205.

The spelling of 386172 in words is "three hundred eighty-six thousand, one hundred seventy-two".