83742 has 16 divisors (see below), whose sum is σ = 177552. Its totient is φ = 26240.

The previous prime is 83737. The next prime is 83761. The reversal of 83742 is 24738.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 83742.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (11097).

2⁸³⁷⁴² is an apocalyptic number.

83742 is an abundant number, since it is smaller than the sum of its proper divisors (93810).

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 (88776).

83742 is a wasteful number, since it uses less digits than its factorization.

83742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

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

The square root of 83742 is about 289.3821003449. The cubic root of 83742 is about 43.7503074808.

The spelling of 83742 in words is "eighty-three thousand, seven hundred forty-two".