38001 has 8 divisors (see below), whose sum is σ = 51840. Its totient is φ = 24752.

The previous prime is 37997. The next prime is 38011. The reversal of 38001 is 10083.

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

It is a cyclic number.

It is not a de Polignac number, because 38001 - 2² = 37997 is a prime.

It is a Curzon number.

38001 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 38001.

It is not an unprimeable number, because it can be changed into a prime (38011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2³⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

38001 is a deficient number, since it is larger than the sum of its proper divisors (13839).

38001 is a wasteful number, since it uses less digits than its factorization.

38001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 38001 is about 194.9384518252. The cubic root of 38001 is about 33.6200489755.

Adding to 38001 its product of nonzero digits (24), we get a square (38025 = 195²).

Adding to 38001 its reverse (10083), we get a palindrome (48084).

The spelling of 38001 in words is "thirty-eight thousand, one".