362142 has 48 divisors (see below), whose sum is σ = 898560. Its totient is φ = 104400.

The previous prime is 362137. The next prime is 362143. The reversal of 362142 is 241263.

It is a happy number.

362142 is a `hidden beast` number, since 3 + 621 + 42 = 666.

It is a super-2 number, since 2×362142² = 262293656328, which contains 22 as substring.

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

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 362142.

It is not an unprimeable number, because it can be changed into a prime (362143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6109 + ... + 6167.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2³⁶²¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449280).

362142 is an abundant number, since it is smaller than the sum of its proper divisors (536418).

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

362142 is a wasteful number, since it uses less digits than its factorization.

362142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

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

The square root of 362142 is about 601.7823526824. The cubic root of 362142 is about 71.2786772835.

It can be divided in two parts, 3621 and 42, that added together give a palindrome (3663).

The spelling of 362142 in words is "three hundred sixty-two thousand, one hundred forty-two".