80001 has 8 divisors (see below), whose sum is σ = 118560. Its totient is φ = 53316.

The previous prime is 79999. The next prime is 80021. The reversal of 80001 is 10008.

It is not a de Polignac number, because 80001 - 2¹ = 79999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

80001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (80021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2⁸⁰⁰⁰¹ is an apocalyptic number.

It is an amenable number.

80001 is a deficient number, since it is larger than the sum of its proper divisors (38559).

80001 is a wasteful number, since it uses less digits than its factorization.

80001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 80001 is about 282.8444802360. The cubic root of 80001 is about 43.0888733361.

Adding to 80001 its reverse (10008), we get a palindrome (90009).

It can be divided in two parts, 8000 and 1, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 80001 in words is "eighty thousand, one".