82042133 has 16 divisors (see below), whose sum is σ = 89101440. Its totient is φ = 75297600.

The previous prime is 82042123. The next prime is 82042139. The reversal of 82042133 is 33124028.

It is a cyclic number.

It is not a de Polignac number, because 82042133 - 2⁸ = 82041877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82042099 and 82042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042139) 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, 81791 + ... + 82787.

It is an arithmetic number, because the mean of its divisors is an integer number (5568840).

Almost surely, 2^82042133 is an apocalyptic number.

It is an amenable number.

82042133 is a deficient number, since it is larger than the sum of its proper divisors (7059307).

82042133 is a wasteful number, since it uses less digits than its factorization.

82042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 82042133 is about 9057.7112451215. The cubic root of 82042133 is about 434.5225447950.

The spelling of 82042133 in words is "eighty-two million, forty-two thousand, one hundred thirty-three".