368356 has 12 divisors (see below), whose sum is σ = 682668. Its totient is φ = 173312.

The previous prime is 368327. The next prime is 368359. The reversal of 368356 is 653863.

368356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 220900 = 384^2 + 470^2 .

It is a super-2 number, since 2×368356² = 271372285472, which contains 22 as substring.

It is a nialpdrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (368359) by changing a digit.

368356 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 2641 + ... + 2776.

It is an arithmetic number, because the mean of its divisors is an integer number (56889).

2³⁶⁸³⁵⁶ is an apocalyptic number.

It is an amenable number.

368356 is a deficient number, since it is larger than the sum of its proper divisors (314312).

368356 is a wasteful number, since it uses less digits than its factorization.

368356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5436 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 368356 is about 606.9233889051. The cubic root of 368356 is about 71.6840580352.

The spelling of 368356 in words is "three hundred sixty-eight thousand, three hundred fifty-six".