82733696 has 64 divisors (see below), whose sum is σ = 176311080. Its totient is φ = 38535168.

The previous prime is 82733681. The next prime is 82733719. The reversal of 82733696 is 69633728.

It can be written as a sum of positive squares in 4 ways, for example, as 82446400 + 287296 = 9080^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419870 + ... + 420066.

Almost surely, 2^82733696 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 82733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88155540).

82733696 is an abundant number, since it is smaller than the sum of its proper divisors (93577384).

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

82733696 is a wasteful number, since it uses less digits than its factorization.

82733696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its digits is 326592, while the sum is 44.

The square root of 82733696 is about 9095.8065062973. The cubic root of 82733696 is about 435.7400464824.

The spelling of 82733696 in words is "eighty-two million, seven hundred thirty-three thousand, six hundred ninety-six".