84801 has 8 divisors (see below), whose sum is σ = 118080. Its totient is φ = 54032.

The previous prime is 84793. The next prime is 84809. The reversal of 84801 is 10848.

84801 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (84793) and next prime (84809).

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 84801 - 2³ = 84793 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84801.

It is not an unprimeable number, because it can be changed into a prime (84809) 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, 546 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2⁸⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

84801 is a deficient number, since it is larger than the sum of its proper divisors (33279).

84801 is a wasteful number, since it uses less digits than its factorization.

84801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 84801 is about 291.2061125732. The cubic root of 84801 is about 43.9339573956.

The spelling of 84801 in words is "eighty-four thousand, eight hundred one".