368361 has 16 divisors (see below), whose sum is σ = 624000. Its totient is φ = 210384.

The previous prime is 368359. The next prime is 368363. The reversal of 368361 is 163863.

It is an interprime number because it is at equal distance from previous prime (368359) and next prime (368363).

It is not a de Polignac number, because 368361 - 2¹ = 368359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

368361 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (368363) 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, 786 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (39000).

2³⁶⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

368361 is a deficient number, since it is larger than the sum of its proper divisors (255639).

368361 is a wasteful number, since it uses less digits than its factorization.

368361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 368361 is about 606.9275080271. The cubic root of 368361 is about 71.6843823760.

It can be divided in two parts, 368 and 361, that added together give a 6-th power (729 = 3⁶).

The spelling of 368361 in words is "three hundred sixty-eight thousand, three hundred sixty-one".