368833 has 2 divisors, whose sum is σ = 368834. Its totient is φ = 368832.

The previous prime is 368803. The next prime is 368857. The reversal of 368833 is 338863.

368833 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294849 + 73984 = 543^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 368833 - 2⁵ = 368801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 368795 and 368804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (368803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 184416 + 184417.

It is an arithmetic number, because the mean of its divisors is an integer number (184417).

2³⁶⁸⁸³³ is an apocalyptic number.

It is an amenable number.

368833 is a deficient number, since it is larger than the sum of its proper divisors (1).

368833 is an equidigital number, since it uses as much as digits as its factorization.

368833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 31.

The square root of 368833 is about 607.3162273478. The cubic root of 368833 is about 71.7149869435.

It can be divided in two parts, 3688 and 33, that added together give a square (3721 = 61²).

The spelling of 368833 in words is "three hundred sixty-eight thousand, eight hundred thirty-three".