42174 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 12600.

The previous prime is 42169. The next prime is 42179. The reversal of 42174 is 47124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42169) and next prime (42179).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42174.

It is not an unprimeable number, because it can be changed into a prime (42179) 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, 559 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2⁴²¹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

42174 is an abundant number, since it is smaller than the sum of its proper divisors (61506).

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

42174 is a wasteful number, since it uses less digits than its factorization.

42174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 42174 is about 205.3630930815. The cubic root of 42174 is about 34.8082025849.

Adding to 42174 its reverse (47124), we get a palindrome (89298).

Subtracting 42174 from its reverse (47124), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 42 and 174, that added together give a cube (216 = 6³).

The spelling of 42174 in words is "forty-two thousand, one hundred seventy-four", and thus it is an iban number.