368349 has 8 divisors (see below), whose sum is σ = 494400. Its totient is φ = 243936.

The previous prime is 368327. The next prime is 368359. The reversal of 368349 is 943863.

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

It is not a de Polignac number, because 368349 - 2¹⁷ = 237277 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

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 368349.

It is not an unprimeable number, because it can be changed into a prime (368359) 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 7 ways as a sum of consecutive naturals, for example, 289 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (61800).

2³⁶⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

368349 is a deficient number, since it is larger than the sum of its proper divisors (126051).

368349 is a wasteful number, since it uses less digits than its factorization.

368349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819.

The product of its digits is 15552, while the sum is 33.

The square root of 368349 is about 606.9176220872. The cubic root of 368349 is about 71.6836039531.

It can be divided in two parts, 368 and 349, that added together give a palindrome (717).

The spelling of 368349 in words is "three hundred sixty-eight thousand, three hundred forty-nine".