387801 has 16 divisors (see below), whose sum is σ = 587520. Its totient is φ = 252720.

The previous prime is 387799. The next prime is 387839. The reversal of 387801 is 108783.

It is not a de Polignac number, because 387801 - 2¹ = 387799 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (382801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296 + ... + 1566.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2³⁸⁷⁸⁰¹ is an apocalyptic number.

It is an amenable number.

387801 is a deficient number, since it is larger than the sum of its proper divisors (199719).

387801 is a wasteful number, since it uses less digits than its factorization.

387801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 387801 is about 622.7367019857. The cubic root of 387801 is about 72.9238588099.

It can be divided in two parts, 38780 and 1, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 387801 in words is "three hundred eighty-seven thousand, eight hundred one".