82284033 has 16 divisors (see below), whose sum is σ = 119374976. Its totient is φ = 50112000.

The previous prime is 82284011. The next prime is 82284043. The reversal of 82284033 is 33048228.

It is not a de Polignac number, because 82284033 - 2⁸ = 82283777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82284043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7093 + ... + 14658.

It is an arithmetic number, because the mean of its divisors is an integer number (7460936).

Almost surely, 2^82284033 is an apocalyptic number.

It is an amenable number.

82284033 is a deficient number, since it is larger than the sum of its proper divisors (37090943).

82284033 is a wasteful number, since it uses less digits than its factorization.

82284033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82284033 is about 9071.0546795838. The cubic root of 82284033 is about 434.9491868246.

The spelling of 82284033 in words is "eighty-two million, two hundred eighty-four thousand, thirty-three".