32874 has 8 divisors (see below), whose sum is σ = 65760. Its totient is φ = 10956.

The previous prime is 32869. The next prime is 32887. The reversal of 32874 is 47823.

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

32874 is an admirable number.

It is a d-powerful number, because it can be written as 3³ + 2¹⁵ + 8 + 7 + 4³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2734 + ... + 2745.

It is an arithmetic number, because the mean of its divisors is an integer number (8220).

2³²⁸⁷⁴ is an apocalyptic number.

32874 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 (32880).

32874 is a wasteful number, since it uses less digits than its factorization.

32874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484.

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

The square root of 32874 is about 181.3118859866. The cubic root of 32874 is about 32.0344680685.

The spelling of 32874 in words is "thirty-two thousand, eight hundred seventy-four".