5801 has 2 divisors, whose sum is σ = 5802. Its totient is φ = 5800.

The previous prime is 5791. The next prime is 5807. The reversal of 5801 is 1085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 25 = 76^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 5801 - 2⁶ = 5737 is a prime.

It is a Chen prime.

It is equal to p₇₆₁ and since 5801 and 761 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (5807) 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 as a sum of consecutive naturals, namely, 2900 + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (2901).

2⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

5801 is a deficient number, since it is larger than the sum of its proper divisors (1).

5801 is an equidigital number, since it uses as much as digits as its factorization.

5801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 5801 is about 76.1642960973. The cubic root of 5801 is about 17.9680503193.

Adding to 5801 its reverse (1085), we get a palindrome (6886).

It can be divided in two parts, 5 and 801, that multiplied together give a triangular number (4005 = T₈₉).

The spelling of 5801 in words is "five thousand, eight hundred one".