83001 has 8 divisors (see below), whose sum is σ = 112480. Its totient is φ = 54432.

The previous prime is 82997. The next prime is 83003. The reversal of 83001 is 10038.

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

It is not a de Polignac number, because 83001 - 2² = 82997 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83003) 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, 30 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (14060).

2⁸³⁰⁰¹ is an apocalyptic number.

It is an amenable number.

83001 is a deficient number, since it is larger than the sum of its proper divisors (29479).

83001 is a wasteful number, since it uses less digits than its factorization.

83001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

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

The square root of 83001 is about 288.0989413379. The cubic root of 83001 is about 43.6208818974.

Adding to 83001 its reverse (10038), we get a palindrome (93039).

The spelling of 83001 in words is "eighty-three thousand, one".