368289 has 12 divisors (see below), whose sum is σ = 537472. Its totient is φ = 243000.

The previous prime is 368287. The next prime is 368293. The reversal of 368289 is 982863.

It is not a de Polignac number, because 368289 - 2¹ = 368287 is a prime.

It is a Duffinian number.

368289 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368289.

It is not an unprimeable number, because it can be changed into a prime (368287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1224 + ... + 1494.

2³⁶⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

368289 is a deficient number, since it is larger than the sum of its proper divisors (169183).

368289 is a wasteful number, since it uses less digits than its factorization.

368289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 368289 is about 606.8681899721. The cubic root of 368289 is about 71.6797115849.

The spelling of 368289 in words is "three hundred sixty-eight thousand, two hundred eighty-nine".