41742 has 16 divisors (see below), whose sum is σ = 92880. Its totient is φ = 13896.

The previous prime is 41737. The next prime is 41759. The reversal of 41742 is 24714.

It is a happy number.

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

It is a plaindrome in base 13.

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 41742.

It is an unprimeable number.

41742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (5805).

2⁴¹⁷⁴² is an apocalyptic number.

41742 is an abundant number, since it is smaller than the sum of its proper divisors (51138).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46440).

41742 is a wasteful number, since it uses less digits than its factorization.

41742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

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

The square root of 41742 is about 204.3085901278. The cubic root of 41742 is about 34.6889444249.

The spelling of 41742 in words is "forty-one thousand, seven hundred forty-two", and thus it is an iban number.