59802 has 8 divisors (see below), whose sum is σ = 119616. Its totient is φ = 19932.

The previous prime is 59797. The next prime is 59809. The reversal of 59802 is 20895.

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

59802 is an admirable number.

It is a d-powerful number, because it can be written as 5⁴ + 9⁵ + 8² + 0 + 2⁶ .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (59809) by changing a digit.

59802 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4978 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (14952).

2⁵⁹⁸⁰² is an apocalyptic number.

59802 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 (59808).

59802 is a wasteful number, since it uses less digits than its factorization.

59802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 59802 is about 244.5444744827. The cubic root of 59802 is about 39.1055654107.

It can be divided in two parts, 59 and 802, that added together give a triangular number (861 = T₄₁).

The spelling of 59802 in words is "fifty-nine thousand, eight hundred two".