387135 has 24 divisors (see below), whose sum is σ = 767520. Its totient is φ = 176832.

The previous prime is 387109. The next prime is 387137. The reversal of 387135 is 531783.

It is not a de Polignac number, because 387135 - 2⁶ = 387071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 387099 and 387108.

It is a congruent number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (31980).

2³⁸⁷¹³⁵ is an apocalyptic number.

387135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

387135 is a deficient number, since it is larger than the sum of its proper divisors (380385).

387135 is a wasteful number, since it uses less digits than its factorization.

387135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1244 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 387135 is about 622.2017357739. The cubic root of 387135 is about 72.8820890024.

The spelling of 387135 in words is "three hundred eighty-seven thousand, one hundred thirty-five".