365838 has 32 divisors (see below), whose sum is σ = 836352. Its totient is φ = 105600.

The previous prime is 365837. The next prime is 365839. The reversal of 365838 is 838563.

365838 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (365837) and next prime (365839).

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 odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 365799 and 365808.

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 365838.

It is not an unprimeable number, because it can be changed into a prime (365837) 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, 1398 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (26136).

2³⁶⁵⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418176).

365838 is an abundant number, since it is smaller than the sum of its proper divisors (470514).

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

365838 is a wasteful number, since it uses less digits than its factorization.

365838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

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

The square root of 365838 is about 604.8454348013. The cubic root of 365838 is about 71.5203456534.

The spelling of 365838 in words is "three hundred sixty-five thousand, eight hundred thirty-eight".