387677 has 2 divisors, whose sum is σ = 387678. Its totient is φ = 387676.

The previous prime is 387659. The next prime is 387679. The reversal of 387677 is 776783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244036 + 143641 = 494^2 + 379^2 .

It is a cyclic number.

It is not a de Polignac number, because 387677 - 2⁶ = 387613 is a prime.

Together with 387679, it forms a pair of twin primes.

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 387677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (387679) 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, 193838 + 193839.

It is an arithmetic number, because the mean of its divisors is an integer number (193839).

2³⁸⁷⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

387677 is a deficient number, since it is larger than the sum of its proper divisors (1).

387677 is an equidigital number, since it uses as much as digits as its factorization.

387677 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 387677 is about 622.6371334895. The cubic root of 387677 is about 72.9160854738.

The spelling of 387677 in words is "three hundred eighty-seven thousand, six hundred seventy-seven".