368305 has 16 divisors (see below), whose sum is σ = 535680. Its totient is φ = 237312.

The previous prime is 368293. The next prime is 368323. The reversal of 368305 is 503863.

It is a cyclic number.

It is not a de Polignac number, because 368305 - 2⁵ = 368273 is a prime.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 368305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2³⁶⁸³⁰⁵ is an apocalyptic number.

368305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

368305 is a deficient number, since it is larger than the sum of its proper divisors (167375).

368305 is a wasteful number, since it uses less digits than its factorization.

368305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 368305 is about 606.8813722631. The cubic root of 368305 is about 71.6807495911.

The spelling of 368305 in words is "three hundred sixty-eight thousand, three hundred five".