388129 has 9 divisors (see below), whose sum is σ = 456627. Its totient is φ = 328944.

The previous prime is 388117. The next prime is 388133. The reversal of 388129 is 921883.

The square root of 388129 is 623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 313600 = 273^2 + 560^2 .

It is not a de Polignac number, because 388129 - 2¹⁵ = 355361 is a prime.

It is a Duffinian number.

Its product of digits (3456) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 388129.

It is not an unprimeable number, because it can be changed into a prime (388109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4317 + ... + 4405.

388129 is a Friedman number, since it can be written as (89*(8-1^3))^2, using all its digits and the basic arithmetic operations.

2³⁸⁸¹²⁹ is an apocalyptic number.

388129 is the 623-rd square number.

388129 is the 312-nd centered octagonal number.

It is an amenable number.

388129 is a deficient number, since it is larger than the sum of its proper divisors (68498).

388129 is an frugal number, since it uses more digits than its factorization.

388129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The cubic root of 388129 is about 72.9444125520.

The spelling of 388129 in words is "three hundred eighty-eight thousand, one hundred twenty-nine".