388777 has 2 divisors, whose sum is σ = 388778. Its totient is φ = 388776.

The previous prime is 388757. The next prime is 388781. The reversal of 388777 is 777883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 3136 = 621^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-388777 is a prime.

It is a super-2 number, since 2×388777² = 302295111458, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (388727) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 194388 + 194389.

It is an arithmetic number, because the mean of its divisors is an integer number (194389).

2³⁸⁸⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

388777 is a deficient number, since it is larger than the sum of its proper divisors (1).

388777 is an equidigital number, since it uses as much as digits as its factorization.

388777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 65856, while the sum is 40.

The square root of 388777 is about 623.5198473184. The cubic root of 388777 is about 72.9849847143.

It can be divided in two parts, 388 and 777, that multiplied together give a triangular number (301476 = T₇₇₆).

The spelling of 388777 in words is "three hundred eighty-eight thousand, seven hundred seventy-seven".