82001 has 4 divisors (see below), whose sum is σ = 83952. Its totient is φ = 80052.

The previous prime is 81973. The next prime is 82003. The reversal of 82001 is 10028.

82001 = T₃₉ + T₄₀ + ... + T₈₁.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82001 - 2⁶ = 81937 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82001.

It is not an unprimeable number, because it can be changed into a prime (82003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 911 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (20988).

2⁸²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

82001 is a deficient number, since it is larger than the sum of its proper divisors (1951).

82001 is a wasteful number, since it uses less digits than its factorization.

82001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 82001 is about 286.3581673359. The cubic root of 82001 is about 43.4449914619. Note that the first 3 decimals are identical.

Adding to 82001 its reverse (10028), we get a palindrome (92029).

The spelling of 82001 in words is "eighty-two thousand, one".