389312361 has 9 divisors (see below), whose sum is σ = 562425591. Its totient is φ = 259502112.

The previous prime is 389312347. The next prime is 389312377. The reversal of 389312361 is 163213983.

The square root of 389312361 is 19731.

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., 385533225 + 3779136 = 19635^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 389312361 - 2¹⁵ = 389279593 is a prime.

It is a super-2 number, since 2×389312361² = 303128228854788642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (389319361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55905 + ... + 62481.

Almost surely, 2^389312361 is an apocalyptic number.

389312361 is the 19731-st square number.

389312361 is the 9866-th centered octagonal number.

It is an amenable number.

389312361 is a deficient number, since it is larger than the sum of its proper divisors (173113230).

389312361 is an frugal number, since it uses more digits than its factorization.

389312361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 6580 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The cubic root of 389312361 is about 730.1847039974.

Multiplying 389312361 by its sum of digits (36), we get a square (14015244996 = 118386²).

The spelling of 389312361 in words is "three hundred eighty-nine million, three hundred twelve thousand, three hundred sixty-one".