32873 has 4 divisors (see below), whose sum is σ = 33408. Its totient is φ = 32340.

The previous prime is 32869. The next prime is 32887. The reversal of 32873 is 37823.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 37823 = 109 ⋅347.

It is a cyclic number.

It is not a de Polignac number, because 32873 - 2² = 32869 is a prime.

It is a d-powerful number, because it can be written as 3² + 2¹⁵ + 8 + 7 + 3⁴ .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32873.

It is not an unprimeable number, because it can be changed into a prime (32803) by changing a digit.

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, 161 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (8352).

2³²⁸⁷³ is an apocalyptic number.

It is an amenable number.

32873 is a deficient number, since it is larger than the sum of its proper divisors (535).

32873 is an equidigital number, since it uses as much as digits as its factorization.

32873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its digits is 1008, while the sum is 23.

The square root of 32873 is about 181.3091282865. The cubic root of 32873 is about 32.0341432445.

Adding to 32873 its sum of digits (23), we get a triangular number (32896 = T₂₅₆).

Subtracting 32873 from its reverse (37823), we obtain a triangular number (4950 = T₉₉).

The spelling of 32873 in words is "thirty-two thousand, eight hundred seventy-three".