17742 has 8 divisors (see below), whose sum is σ = 35496. Its totient is φ = 5912.

The previous prime is 17737. The next prime is 17747. The reversal of 17742 is 24771.

It is an interprime number because it is at equal distance from previous prime (17737) and next prime (17747).

It is a sphenic number, since it is the product of 3 distinct primes.

17742 is an admirable number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17747) by changing a digit.

17742 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 3 ways as a sum of consecutive naturals, for example, 1473 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (4437).

2¹⁷⁷⁴² is an apocalyptic number.

17742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (17748).

17742 is a wasteful number, since it uses less digits than its factorization.

17742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962.

The product of its digits is 392, while the sum is 21.

The square root of 17742 is about 133.1990990961. The cubic root of 17742 is about 26.0815976915.

The spelling of 17742 in words is "seventeen thousand, seven hundred forty-two", and thus it is an iban number.