388838961 has 45 divisors (see below), whose sum is σ = 677857851. Its totient is φ = 221483808.

The previous prime is 388838951. The next prime is 388838993. The reversal of 388838961 is 169838883.

It is a happy number.

The square root of 388838961 is 19719.

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., 2480625 + 386358336 = 1575^2 + 19656^2 .

It is not a de Polignac number, because 388838961 - 2⁵ = 388838929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 388838898 and 388838907.

It is not an unprimeable number, because it can be changed into a prime (388838911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1242141 + ... + 1242453.

Almost surely, 2^388838961 is an apocalyptic number.

388838961 is the 19719-th square number.

388838961 is the 9860-th centered octagonal number.

It is an amenable number.

388838961 is a deficient number, since it is larger than the sum of its proper divisors (289018890).

388838961 is an frugal number, since it uses more digits than its factorization.

388838961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 323 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The cubic root of 388838961 is about 729.8886181475. Note that the first 3 decimals are identical.

It can be divided in two parts, 3888 and 38961, that added together give a square (42849 = 207²).

The spelling of 388838961 in words is "three hundred eighty-eight million, eight hundred thirty-eight thousand, nine hundred sixty-one".