386153172 has 18 divisors (see below), whose sum is σ = 976109498. Its totient is φ = 128717712.

The previous prime is 386153161. The next prime is 386153203. The reversal of 386153172 is 271351683.

386153172 is a `hidden beast` number, since 3 + 8 + 615 + 31 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316697616 + 69455556 = 17796^2 + 8334^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×386153172³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10726477 = 386153172 / (3 + 8 + 6 + 1 + 5 + 3 + 1 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5363203 + ... + 5363274.

Almost surely, 2^386153172 is an apocalyptic number.

It is an amenable number.

386153172 is an abundant number, since it is smaller than the sum of its proper divisors (589956326).

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

386153172 is a wasteful number, since it uses less digits than its factorization.

386153172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726487 (or 10726482 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 386153172 is about 19650.7804425168. The cubic root of 386153172 is about 728.2042381718.

The spelling of 386153172 in words is "three hundred eighty-six million, one hundred fifty-three thousand, one hundred seventy-two".