387136 has 28 divisors (see below), whose sum is σ = 804672. Its totient is φ = 184448.

The previous prime is 387109. The next prime is 387137. The reversal of 387136 is 631783.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (387137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1341 + ... + 1603.

2³⁸⁷¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336).

387136 is an abundant number, since it is smaller than the sum of its proper divisors (417536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387136 is a wasteful number, since it uses less digits than its factorization.

387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 387136 is about 622.2025393712. The cubic root of 387136 is about 72.8821517557.

The spelling of 387136 in words is "three hundred eighty-seven thousand, one hundred thirty-six".