363225 has 24 divisors (see below), whose sum is σ = 624960. Its totient is φ = 185920.

The previous prime is 363217. The next prime is 363257. The reversal of 363225 is 522363.

363225 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 363225 - 2³ = 363217 is a prime.

363225 is strictly pandigital in base 7.

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 363225.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2092 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2³⁶³²²⁵ is an apocalyptic number.

It is an amenable number.

363225 is a deficient number, since it is larger than the sum of its proper divisors (261735).

363225 is a wasteful number, since it uses less digits than its factorization.

363225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 363225 is about 602.6815079294. The cubic root of 363225 is about 71.3496604740.

Adding to 363225 its reverse (522363), we get a palindrome (885588).

The spelling of 363225 in words is "three hundred sixty-three thousand, two hundred twenty-five".