363144 has 16 divisors (see below), whose sum is σ = 907920. Its totient is φ = 121040.

The previous prime is 363119. The next prime is 363149. The reversal of 363144 is 441363.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363144.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363144.

It is not an unprimeable number, because it can be changed into a prime (363149) by changing a digit.

363144 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 3 ways as a sum of consecutive naturals, for example, 7542 + ... + 7589.

It is an arithmetic number, because the mean of its divisors is an integer number (56745).

2³⁶³¹⁴⁴ is an apocalyptic number.

It is an amenable number.

363144 is an abundant number, since it is smaller than the sum of its proper divisors (544776).

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

363144 is a wasteful number, since it uses less digits than its factorization.

363144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140 (or 15136 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 363144 is about 602.6143045099. The cubic root of 363144 is about 71.3443563676.

The spelling of 363144 in words is "three hundred sixty-three thousand, one hundred forty-four".