32802 has 32 divisors (see below), whose sum is σ = 82944. Its totient is φ = 8400.

The previous prime is 32801. The next prime is 32803. The reversal of 32802 is 20823.

32802 is nontrivially palindromic in base 5.

32802 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (32801) and next prime (32803).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32802.

It is not an unprimeable number, because it can be changed into a prime (32801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2³²⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472).

32802 is an abundant number, since it is smaller than the sum of its proper divisors (50142).

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

32802 is a wasteful number, since it uses less digits than its factorization.

32802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 32802 is about 181.1132242549. The cubic root of 32802 is about 32.0110638826.

The spelling of 32802 in words is "thirty-two thousand, eight hundred two".