282085133 has 32 divisors (see below), whose sum is σ = 331879680. Its totient is φ = 237219840.

The previous prime is 282085127. The next prime is 282085169. The reversal of 282085133 is 331580282.

It is not a de Polignac number, because 282085133 - 2¹⁴ = 282068749 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 282085133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282085033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461485 + ... + 1461677.

It is an arithmetic number, because the mean of its divisors is an integer number (10371240).

Almost surely, 2^282085133 is an apocalyptic number.

282085133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

282085133 is a deficient number, since it is larger than the sum of its proper divisors (49794547).

282085133 is a wasteful number, since it uses less digits than its factorization.

282085133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 282085133 is about 16795.3902306556. The cubic root of 282085133 is about 655.8332018482.

The spelling of 282085133 in words is "two hundred eighty-two million, eighty-five thousand, one hundred thirty-three".