368193 has 16 divisors (see below), whose sum is σ = 570240. Its totient is φ = 206976.

The previous prime is 368189. The next prime is 368197. The reversal of 368193 is 391863.

It is an interprime number because it is at equal distance from previous prime (368189) and next prime (368197).

It is not a de Polignac number, because 368193 - 2² = 368189 is a prime.

It is a Curzon number.

368193 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 368193.

It is not an unprimeable number, because it can be changed into a prime (368197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771 + ... + 1967.

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

2³⁶⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

368193 is a deficient number, since it is larger than the sum of its proper divisors (202047).

368193 is a wasteful number, since it uses less digits than its factorization.

368193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296.

The product of its digits is 3888, while the sum is 30.

The square root of 368193 is about 606.7890902117. The cubic root of 368193 is about 71.6734829164.

It can be divided in two parts, 368 and 193, that added together give a triangular number (561 = T₃₃).

The spelling of 368193 in words is "three hundred sixty-eight thousand, one hundred ninety-three".