86801 has 8 divisors (see below), whose sum is σ = 102144. Its totient is φ = 72720.

The previous prime is 86783. The next prime is 86813. The reversal of 86801 is 10868.

86801 = T₁₀₉ + T₁₁₀ + ... + T₁₂₁.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86801 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86851) 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, 161 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2⁸⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

86801 is a deficient number, since it is larger than the sum of its proper divisors (15343).

86801 is a wasteful number, since it uses less digits than its factorization.

86801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 86801 is about 294.6200943588. The cubic root of 86801 is about 44.2766658090.

It can be divided in two parts, 86 and 801, that multiplied together give a palindrome (68886).

The spelling of 86801 in words is "eighty-six thousand, eight hundred one".