386777 has 2 divisors, whose sum is σ = 386778. Its totient is φ = 386776.

The previous prime is 386747. The next prime is 386809. The reversal of 386777 is 777683.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373321 + 13456 = 611^2 + 116^2 .

It is an emirp because it is prime and its reverse (777683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 386777 - 2⁶ = 386713 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 386777.

It is not a weakly prime, because it can be changed into another prime (386747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193388 + 193389.

It is an arithmetic number, because the mean of its divisors is an integer number (193389).

2³⁸⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

386777 is a deficient number, since it is larger than the sum of its proper divisors (1).

386777 is an equidigital number, since it uses as much as digits as its factorization.

386777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49392, while the sum is 38.

The square root of 386777 is about 621.9139811903. The cubic root of 386777 is about 72.8596163639.

The spelling of 386777 in words is "three hundred eighty-six thousand, seven hundred seventy-seven".