387765 has 24 divisors (see below), whose sum is σ = 768768. Its totient is φ = 177120.

The previous prime is 387763. The next prime is 387781. The reversal of 387765 is 567783.

387765 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 387765 - 2¹ = 387763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387763) 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, 301 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

2³⁸⁷⁷⁶⁵ is an apocalyptic number.

387765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

387765 is a deficient number, since it is larger than the sum of its proper divisors (381003).

387765 is a wasteful number, since it uses less digits than its factorization.

387765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1246 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 387765 is about 622.7077966430. The cubic root of 387765 is about 72.9216022056.

It can be divided in two parts, 38776 and 5, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 387765 in words is "three hundred eighty-seven thousand, seven hundred sixty-five".