362838 has 32 divisors (see below), whose sum is σ = 850176. Its totient is φ = 101088.

The previous prime is 362801. The next prime is 362851. The reversal of 362838 is 838263.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 14.

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 362838.

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, 2145 + ... + 2307.

It is an arithmetic number, because the mean of its divisors is an integer number (26568).

2³⁶²⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425088).

362838 is an abundant number, since it is smaller than the sum of its proper divisors (487338).

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

362838 is a wasteful number, since it uses less digits than its factorization.

362838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 6912, while the sum is 30.

The square root of 362838 is about 602.3603572613. The cubic root of 362838 is about 71.3243115113.

The spelling of 362838 in words is "three hundred sixty-two thousand, eight hundred thirty-eight".