387963 has 8 divisors (see below), whose sum is σ = 574800. Its totient is φ = 258624.

The previous prime is 387953. The next prime is 387967. The reversal of 387963 is 369783.

It is not a de Polignac number, because 387963 - 2⁸ = 387707 is a prime.

387963 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387963.

It is not an unprimeable number, because it can be changed into a prime (387967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7158 + ... + 7211.

It is an arithmetic number, because the mean of its divisors is an integer number (71850).

2³⁸⁷⁹⁶³ is an apocalyptic number.

387963 is a deficient number, since it is larger than the sum of its proper divisors (186837).

387963 is a wasteful number, since it uses less digits than its factorization.

387963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14378 (or 14372 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 387963 is about 622.8667594277. The cubic root of 387963 is about 72.9340118011.

It can be divided in two parts, 38 and 7963, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 387963 in words is "three hundred eighty-seven thousand, nine hundred sixty-three".