86401 has 4 divisors (see below), whose sum is σ = 98752. Its totient is φ = 74052.

The previous prime is 86399. The next prime is 86413. The reversal of 86401 is 10468.

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 86401 - 2¹ = 86399 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6165 + ... + 6178.

It is an arithmetic number, because the mean of its divisors is an integer number (24688).

2⁸⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

86401 is a deficient number, since it is larger than the sum of its proper divisors (12351).

86401 is a wasteful number, since it uses less digits than its factorization.

86401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 86401 is about 293.9404701636. The cubic root of 86401 is about 44.2085485400.

Adding to 86401 its reverse (10468), we get a palindrome (96869).

The spelling of 86401 in words is "eighty-six thousand, four hundred one".