838365 has 16 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 406400.

The previous prime is 838363. The next prime is 838367. The reversal of 838365 is 563838.

It is an interprime number because it is at equal distance from previous prime (838363) and next prime (838367).

It is not a de Polignac number, because 838365 - 2¹ = 838363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

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 838365.

It is not an unprimeable number, because it can be changed into a prime (838363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

2⁸³⁸³⁶⁵ is an apocalyptic number.

It is an amenable number.

838365 is a deficient number, since it is larger than the sum of its proper divisors (625251).

838365 is a wasteful number, since it uses less digits than its factorization.

838365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100.

The product of its digits is 17280, while the sum is 33.

The square root of 838365 is about 915.6227389051. The cubic root of 838365 is about 94.2926221490.

It can be divided in two parts, 8383 and 65, that added together give a palindrome (8448).

The spelling of 838365 in words is "eight hundred thirty-eight thousand, three hundred sixty-five".