363858 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 106560.

The previous prime is 363841. The next prime is 363871. The reversal of 363858 is 858363.

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 Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363858.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2368 + ... + 2516.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2³⁶³⁸⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

363858 is an abundant number, since it is smaller than the sum of its proper divisors (456942).

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

363858 is a wasteful number, since it uses less digits than its factorization.

363858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

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

The square root of 363858 is about 603.2064323264. The cubic root of 363858 is about 71.3910839481.

363858 divided by its sum of digits (33) gives a triangular number (11026 = T₁₄₈).

Adding to 363858 its reverse (858363), we get a palindrome (1222221).

It can be divided in two parts, 363 and 858, that added together give a palindrome (1221).

The spelling of 363858 in words is "three hundred sixty-three thousand, eight hundred fifty-eight".