82533168 has 100 divisors (see below), whose sum is σ = 244595208. Its totient is φ = 26853120.

The previous prime is 82533167. The next prime is 82533193. The reversal of 82533168 is 86133528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82533161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54988 + ... + 56468.

Almost surely, 2^82533168 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 82533168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122297604).

82533168 is an abundant number, since it is smaller than the sum of its proper divisors (162062040).

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

82533168 is a wasteful number, since it uses less digits than its factorization.

82533168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1529 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82533168 is about 9084.7767171241. The cubic root of 82533168 is about 435.3877161565.

The spelling of 82533168 in words is "eighty-two million, five hundred thirty-three thousand, one hundred sixty-eight".