32542 has 8 divisors (see below), whose sum is σ = 49896. Its totient is φ = 15912.

The previous prime is 32537. The next prime is 32561. The reversal of 32542 is 24523.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

32542 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (6237).

2³²⁵⁴² is an apocalyptic number.

32542 is a deficient number, since it is larger than the sum of its proper divisors (17354).

32542 is a wasteful number, since it uses less digits than its factorization.

32542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its digits is 240, while the sum is 16.

The square root of 32542 is about 180.3940132044. The cubic root of 32542 is about 31.9262625091.

It can be divided in two parts, 3 and 2542, that multiplied together give a triangular number (7626 = T₁₂₃).

The spelling of 32542 in words is "thirty-two thousand, five hundred forty-two".