368313 has 8 divisors (see below), whose sum is σ = 535776. Its totient is φ = 223200.

The previous prime is 368293. The next prime is 368323. The reversal of 368313 is 313863.

368313 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 368313 - 2¹⁴ = 351929 is a prime.

368313 is strictly pandigital in base 7.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (368323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5548 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (66972).

2³⁶⁸³¹³ is an apocalyptic number.

368313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

368313 is a deficient number, since it is larger than the sum of its proper divisors (167463).

368313 is a wasteful number, since it uses less digits than its factorization.

368313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175.

The product of its digits is 1296, while the sum is 24.

The square root of 368313 is about 606.8879633013. The cubic root of 368313 is about 71.6812685829.

The spelling of 368313 in words is "three hundred sixty-eight thousand, three hundred thirteen".