42182973 has 36 divisors (see below), whose sum is σ = 72638748. Its totient is φ = 23506560.

The previous prime is 42182969. The next prime is 42183041. The reversal of 42182973 is 37928124.

42182973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7112889 + 35070084 = 2667^2 + 5922^2 .

It is not a de Polignac number, because 42182973 - 2² = 42182969 is a prime.

It is a super-2 number, since 2×42182973² = 3558806422237458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42182963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16915 + ... + 19247.

It is an arithmetic number, because the mean of its divisors is an integer number (2017743).

Almost surely, 2^42182973 is an apocalyptic number.

It is an amenable number.

42182973 is a deficient number, since it is larger than the sum of its proper divisors (30455775).

42182973 is a wasteful number, since it uses less digits than its factorization.

42182973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2384 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42182973 is about 6494.8420304115. The cubic root of 42182973 is about 348.1067102399.

The spelling of 42182973 in words is "forty-two million, one hundred eighty-two thousand, nine hundred seventy-three".