387933 has 32 divisors (see below), whose sum is σ = 672000. Its totient is φ = 197568.

The previous prime is 387917. The next prime is 387953. The reversal of 387933 is 339783.

It is not a de Polignac number, because 387933 - 2⁴ = 387917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 387894 and 387903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13363 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2³⁸⁷⁹³³ is an apocalyptic number.

It is an amenable number.

387933 is a deficient number, since it is larger than the sum of its proper divisors (284067).

387933 is a wasteful number, since it uses less digits than its factorization.

387933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 387933 is about 622.8426767652. The cubic root of 387933 is about 72.9321318308.

The spelling of 387933 in words is "three hundred eighty-seven thousand, nine hundred thirty-three".