387837 has 6 divisors (see below), whose sum is σ = 560222. Its totient is φ = 258552.

The previous prime is 387799. The next prime is 387839. The reversal of 387837 is 738783.

It can be written as a sum of positive squares in only one way, i.e., 301401 + 86436 = 549^2 + 294^2 .

It is not a de Polignac number, because 387837 - 2¹⁴ = 371453 is a prime.

It is a Duffinian number.

387837 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387837.

It is not an unprimeable number, because it can be changed into a prime (387839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21538 + ... + 21555.

2³⁸⁷⁸³⁷ is an apocalyptic number.

It is an amenable number.

387837 is a deficient number, since it is larger than the sum of its proper divisors (172385).

387837 is a wasteful number, since it uses less digits than its factorization.

387837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43099 (or 43096 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 387837 is about 622.7656059867. The cubic root of 387837 is about 72.9261152745.

It can be divided in two parts, 38 and 7837, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 387837 in words is "three hundred eighty-seven thousand, eight hundred thirty-seven".