32973216 has 48 divisors (see below), whose sum is σ = 88903584. Its totient is φ = 10692864.

The previous prime is 32973211. The next prime is 32973223. The reversal of 32973216 is 61237923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (32973211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 8193.

It is an arithmetic number, because the mean of its divisors is an integer number (1852158).

Almost surely, 2^32973216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44451792).

32973216 is an abundant number, since it is smaller than the sum of its proper divisors (55930368).

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

32973216 is a wasteful number, since it uses less digits than its factorization.

32973216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333 (or 9325 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 32973216 is about 5742.2309253460. The cubic root of 32973216 is about 320.6666311282. Note that the first 4 decimals are identical.

The spelling of 32973216 in words is "thirty-two million, nine hundred seventy-three thousand, two hundred sixteen".