37742 has 8 divisors (see below), whose sum is σ = 57456. Its totient is φ = 18592.

The previous prime is 37717. The next prime is 37747. The reversal of 37742 is 24773.

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

37742 is an undulating number in base 15.

It is a plaindrome in base 8.

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 37742.

It is not an unprimeable number, because it can be changed into a prime (37747) by changing a digit.

37742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2³⁷⁷⁴² is an apocalyptic number.

37742 is a deficient number, since it is larger than the sum of its proper divisors (19714).

37742 is a wasteful number, since it uses less digits than its factorization.

37742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its digits is 1176, while the sum is 23.

The square root of 37742 is about 194.2730037859. The cubic root of 37742 is about 33.5434944072.

The spelling of 37742 in words is "thirty-seven thousand, seven hundred forty-two".