42173124 has 72 divisors (see below), whose sum is σ = 121232160. Its totient is φ = 11337984.

The previous prime is 42173111. The next prime is 42173129. The reversal of 42173124 is 42137124.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42173094 and 42173103.

It is not an unprimeable number, because it can be changed into a prime (42173129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7887 + ... + 12105.

It is an arithmetic number, because the mean of its divisors is an integer number (1683780).

Almost surely, 2^42173124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42173124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60616080).

42173124 is an abundant number, since it is smaller than the sum of its proper divisors (79059036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42173124 is a wasteful number, since it uses less digits than its factorization.

42173124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4248 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 42173124 is about 6494.0837690932. The cubic root of 42173124 is about 348.0796158176.

It can be divided in two parts, 42 and 173124, that added together give a triangular number (173166 = T₅₈₈).

The spelling of 42173124 in words is "forty-two million, one hundred seventy-three thousand, one hundred twenty-four".