5802 has 8 divisors (see below), whose sum is σ = 11616. Its totient is φ = 1932.

The previous prime is 5801. The next prime is 5807. The reversal of 5802 is 2085.

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

5802 is an admirable number.

It is a plaindrome in base 4, base 15 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5801) 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 3 ways as a sum of consecutive naturals, for example, 478 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (1452).

2⁵⁸⁰² is an apocalyptic number.

5802 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808).

5802 is a wasteful number, since it uses less digits than its factorization.

5802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5802 is about 76.1708605702. The cubic root of 5802 is about 17.9690827286.

Adding to 5802 its reverse (2085), we get a palindrome (7887).

The spelling of 5802 in words is "five thousand, eight hundred two".