83542 has 4 divisors (see below), whose sum is σ = 125316. Its totient is φ = 41770.

The previous prime is 83537. The next prime is 83557. The reversal of 83542 is 24538.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 24538 = 2 ⋅12269.

It is a Smith number, since the sum of its digits (22) 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 unprimeable number.

83542 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 as a sum of consecutive naturals, namely, 20884 + ... + 20887.

It is an arithmetic number, because the mean of its divisors is an integer number (31329).

2⁸³⁵⁴² is an apocalyptic number.

83542 is a deficient number, since it is larger than the sum of its proper divisors (41774).

83542 is a wasteful number, since it uses less digits than its factorization.

83542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41773.

The product of its digits is 960, while the sum is 22.

The square root of 83542 is about 289.0363298964. The cubic root of 83542 is about 43.7154502740.

It can be divided in two parts, 83 and 542, that added together give a 4-th power (625 = 5⁴).

The spelling of 83542 in words is "eighty-three thousand, five hundred forty-two".