363356 has 24 divisors (see below), whose sum is σ = 766080. Its totient is φ = 147312.

The previous prime is 363343. The next prime is 363359. The reversal of 363356 is 653363.

363356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363359) by changing a digit.

363356 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 7 ways as a sum of consecutive naturals, for example, 191 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2³⁶³³⁵⁶ 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 363356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

363356 is an abundant number, since it is smaller than the sum of its proper divisors (402724).

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

363356 is a wasteful number, since it uses less digits than its factorization.

363356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 711 counting only the distinct ones).

The product of its digits is 4860, while the sum is 26.

The square root of 363356 is about 602.7901790839. The cubic root of 363356 is about 71.3582370515.

The spelling of 363356 in words is "three hundred sixty-three thousand, three hundred fifty-six".