388917841 has 27 divisors (see below), whose sum is σ = 443639763. Its totient is φ = 340778880.

The previous prime is 388917827. The next prime is 388917853. The reversal of 388917841 is 148719883.

The square root of 388917841 is 19721.

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

It can be written as a sum of positive squares in 13 ways, for example, as 358004241 + 30913600 = 18921^2 + 5560^2 .

It is not a de Polignac number, because 388917841 - 2¹⁹ = 388393553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (388917871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9485781 + ... + 9485821.

Almost surely, 2^388917841 is an apocalyptic number.

388917841 is the 19721-st square number.

388917841 is the 9861-st centered octagonal number.

It is an amenable number.

388917841 is a deficient number, since it is larger than the sum of its proper divisors (54721922).

388917841 is an equidigital number, since it uses as much as digits as its factorization.

388917841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its digits is 387072, while the sum is 49.

The cubic root of 388917841 is about 729.9379699592.

Multiplying 388917841 by its sum of digits (49), we get a square (19056974209 = 138047²).

The spelling of 388917841 in words is "three hundred eighty-eight million, nine hundred seventeen thousand, eight hundred forty-one".