82042173 has 16 divisors (see below), whose sum is σ = 126829440. Its totient is φ = 52316352.

The previous prime is 82042157. The next prime is 82042183. The reversal of 82042173 is 37124028.

It is not a de Polignac number, because 82042173 - 2⁴ = 82042157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65436 + ... + 66677.

It is an arithmetic number, because the mean of its divisors is an integer number (7926840).

Almost surely, 2^82042173 is an apocalyptic number.

It is an amenable number.

82042173 is a deficient number, since it is larger than the sum of its proper divisors (44787267).

82042173 is a wasteful number, since it uses less digits than its factorization.

82042173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132145 (or 132139 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82042173 is about 9057.7134531845. The cubic root of 82042173 is about 434.5226154128.

It can be divided in two parts, 82042 and 173, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 82042173 in words is "eighty-two million, forty-two thousand, one hundred seventy-three".