368001 has 12 divisors (see below), whose sum is σ = 549120. Its totient is φ = 237240.

The previous prime is 367957. The next prime is 368021. The reversal of 368001 is 100863.

It is a de Polignac number, because none of the positive numbers 2^k-368001 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368001.

It is not an unprimeable number, because it can be changed into a prime (368021) 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, 381 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (45760).

2³⁶⁸⁰⁰¹ is an apocalyptic number.

368001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

368001 is a deficient number, since it is larger than the sum of its proper divisors (181119).

368001 is a wasteful number, since it uses less digits than its factorization.

368001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 368001 is about 606.6308597492. The cubic root of 368001 is about 71.6610223305.

Adding to 368001 its reverse (100863), we get a palindrome (468864).

The spelling of 368001 in words is "three hundred sixty-eight thousand, one".