368253 has 16 divisors (see below), whose sum is σ = 570240. Its totient is φ = 234432.

The previous prime is 368243. The next prime is 368273. The reversal of 368253 is 352863.

It is not a de Polignac number, because 368253 - 2⁶ = 368189 is a prime.

It is a super-2 number, since 2×368253² = 271220544018, which contains 22 as substring.

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

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 368253.

It is not an unprimeable number, because it can be changed into a prime (368233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2³⁶⁸²⁵³ is an apocalyptic number.

It is an amenable number.

368253 is a deficient number, since it is larger than the sum of its proper divisors (201987).

368253 is a wasteful number, since it uses less digits than its factorization.

368253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

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

The square root of 368253 is about 606.8385287702. The cubic root of 368253 is about 71.6773759611.

The spelling of 368253 in words is "three hundred sixty-eight thousand, two hundred fifty-three".