363348 has 18 divisors (see below), whose sum is σ = 918554. Its totient is φ = 121104.

The previous prime is 363343. The next prime is 363359. The reversal of 363348 is 843363.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 51984 = 558^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (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 363348.

It is not an unprimeable number, because it can be changed into a prime (363343) by changing a digit.

363348 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 5 ways as a sum of consecutive naturals, for example, 5011 + ... + 5082.

2³⁶³³⁴⁸ is an apocalyptic number.

It is an amenable number.

363348 is an abundant number, since it is smaller than the sum of its proper divisors (555206).

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

363348 is a wasteful number, since it uses less digits than its factorization.

363348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103 (or 10098 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 363348 is about 602.7835432392. The cubic root of 363348 is about 71.3577133501.

The spelling of 363348 in words is "three hundred sixty-three thousand, three hundred forty-eight".