365787 has 12 divisors (see below), whose sum is σ = 535080. Its totient is φ = 240768.

The previous prime is 365779. The next prime is 365791. The reversal of 365787 is 787563.

It is not a de Polignac number, because 365787 - 2³ = 365779 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365787.

It is not an unprimeable number, because it can be changed into a prime (365747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (44590).

2³⁶⁵⁷⁸⁷ is an apocalyptic number.

365787 is a deficient number, since it is larger than the sum of its proper divisors (169293).

365787 is a wasteful number, since it uses less digits than its factorization.

365787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

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

The square root of 365787 is about 604.8032738007. The cubic root of 365787 is about 71.5170220447.

It can be divided in two parts, 36578 and 7, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 365787 in words is "three hundred sixty-five thousand, seven hundred eighty-seven".