387967 has 2 divisors, whose sum is σ = 387968. Its totient is φ = 387966.

The previous prime is 387953. The next prime is 387971. The reversal of 387967 is 769783.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 387967 - 2⁷ = 387839 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (387917) 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, 193983 + 193984.

It is an arithmetic number, because the mean of its divisors is an integer number (193984).

2³⁸⁷⁹⁶⁷ is an apocalyptic number.

387967 is a deficient number, since it is larger than the sum of its proper divisors (1).

387967 is an equidigital number, since it uses as much as digits as its factorization.

387967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 387967 is about 622.8699703791. The cubic root of 387967 is about 72.9342624565.

It can be divided in two parts, 3 and 87967, that multiplied together give a triangular number (263901 = T₇₂₆).

The spelling of 387967 in words is "three hundred eighty-seven thousand, nine hundred sixty-seven".