84001 has 4 divisors (see below), whose sum is σ = 84672. Its totient is φ = 83332.

The previous prime is 83987. The next prime is 84011. The reversal of 84001 is 10048.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 84001 - 2⁵ = 83969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84011) 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, 85 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁸⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

84001 is a deficient number, since it is larger than the sum of its proper divisors (671).

84001 is a wasteful number, since it uses less digits than its factorization.

84001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 84001 is about 289.8292600826. The cubic root of 84001 is about 43.7953651886.

Adding to 84001 its reverse (10048), we get a palindrome (94049).

The spelling of 84001 in words is "eighty-four thousand, one".