32813 has 8 divisors (see below), whose sum is σ = 37920. Its totient is φ = 28080.

The previous prime is 32803. The next prime is 32831. The reversal of 32813 is 31823.

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

It is a cyclic number.

It is not a de Polignac number, because 32813 - 2⁴ = 32797 is a prime.

It is a d-powerful number, because it can be written as 3² + 2¹⁵ + 8 + 1 + 3³ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32791 and 32800.

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 32813.

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 7 ways as a sum of consecutive naturals, for example, 131 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4740).

2³²⁸¹³ is an apocalyptic number.

It is an amenable number.

32813 is a deficient number, since it is larger than the sum of its proper divisors (5107).

32813 is a wasteful number, since it uses less digits than its factorization.

32813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187.

The product of its digits is 144, while the sum is 17.

The square root of 32813 is about 181.1435894532. The cubic root of 32813 is about 32.0146417371.

Subtracting from 32813 its reverse (31823), we obtain a triangular number (990 = T₄₄).

The spelling of 32813 in words is "thirty-two thousand, eight hundred thirteen".