362124 has 48 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 103248.

The previous prime is 362107. The next prime is 362137. The reversal of 362124 is 421263.

It is a happy number.

It is a super-2 number, since 2×362124² = 262267582752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 362097 and 362106.

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 362124.

It is an unprimeable number.

362124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2³⁶²¹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

362124 is an abundant number, since it is smaller than the sum of its proper divisors (713076).

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

362124 is a wasteful number, since it uses less digits than its factorization.

362124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 362124 is about 601.7673969234. The cubic root of 362124 is about 71.2774963127.

Adding to 362124 its reverse (421263), we get a palindrome (783387).

The spelling of 362124 in words is "three hundred sixty-two thousand, one hundred twenty-four".