363042 has 32 divisors (see below), whose sum is σ = 826560. Its totient is φ = 119556.

The previous prime is 363037. The next prime is 363043. The reversal of 363042 is 240363.

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

It is not an unprimeable number, because it can be changed into a prime (363043) by changing a digit.

363042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4333 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2³⁶³⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413280).

363042 is an abundant number, since it is smaller than the sum of its proper divisors (463518).

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

363042 is an frugal number, since it uses more digits than its factorization.

363042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 363042 is about 602.5296673194. The cubic root of 363042 is about 71.3376760004.

The spelling of 363042 in words is "three hundred sixty-three thousand, forty-two".