363285 has 48 divisors (see below), whose sum is σ = 733824. Its totient is φ = 171072.

The previous prime is 363277. The next prime is 363313. The reversal of 363285 is 582363.

363285 = T₁₅₄ + T₁₅₅ + ... + T₁₇₉.

It is not a de Polignac number, because 363285 - 2³ = 363277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3⁴ + 6³ + 2¹⁶ + 3⁹ + 8⁶ + 5⁶ .

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 363285.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15784 + ... + 15806.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2³⁶³²⁸⁵ is an apocalyptic number.

It is an amenable number.

363285 is an abundant number, since it is smaller than the sum of its proper divisors (370539).

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

363285 is a wasteful number, since it uses less digits than its factorization.

363285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 363285 is about 602.7312834091. The cubic root of 363285 is about 71.3535889333.

It can be divided in two parts, 36 and 3285, that added together give a triangular number (3321 = T₈₁).

The spelling of 363285 in words is "three hundred sixty-three thousand, two hundred eighty-five".