80401 has 8 divisors (see below), whose sum is σ = 86184. Its totient is φ = 74880.

The previous prime is 80387. The next prime is 80407. The reversal of 80401 is 10408.

80401 = T₄₁ + T₄₂ + ... + T₈₁.

80401 = 200² + 201².

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 65025 = 124^2 + 255^2 .

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 80401 - 2⁵ = 80369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80407) 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, 1491 + ... + 1543.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2⁸⁰⁴⁰¹ is an apocalyptic number.

80401 is the 201-st centered square number.

It is an amenable number.

80401 is a deficient number, since it is larger than the sum of its proper divisors (5783).

80401 is a wasteful number, since it uses less digits than its factorization.

80401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

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

The square root of 80401 is about 283.5507009337. The cubic root of 80401 is about 43.1605678704.

Adding to 80401 its reverse (10408), we get a palindrome (90809).

The spelling of 80401 in words is "eighty thousand, four hundred one".