32316 has 12 divisors (see below), whose sum is σ = 75432. Its totient is φ = 10768.

The previous prime is 32309. The next prime is 32321. The reversal of 32316 is 61323.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 32295 and 32304.

It is a congruent number.

It is an unprimeable number.

32316 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, 1335 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (6286).

2³²³¹⁶ is an apocalyptic number.

It is an amenable number.

32316 is an abundant number, since it is smaller than the sum of its proper divisors (43116).

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 (37716).

32316 is a wasteful number, since it uses less digits than its factorization.

32316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2698 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 32316 is about 179.7665152357. The cubic root of 32316 is about 31.8521828248.

Adding to 32316 its reverse (61323), we get a palindrome (93639).

The spelling of 32316 in words is "thirty-two thousand, three hundred sixteen".