32713 has 2 divisors, whose sum is σ = 32714. Its totient is φ = 32712.

The previous prime is 32707. The next prime is 32717. The reversal of 32713 is 31723.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 4489 = 168^2 + 67^2 .

It is an emirp because it is prime and its reverse (31723) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-32713 is a prime.

32713 is a lucky number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not a weakly prime, because it can be changed into another prime (32717) by changing a digit.

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 as a sum of consecutive naturals, namely, 16356 + 16357.

It is an arithmetic number, because the mean of its divisors is an integer number (16357).

2³²⁷¹³ is an apocalyptic number.

It is an amenable number.

32713 is a deficient number, since it is larger than the sum of its proper divisors (1).

32713 is an equidigital number, since it uses as much as digits as its factorization.

32713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 32713 is about 180.8673547106. The cubic root of 32713 is about 31.9820863279.

Subtracting from 32713 its reverse (31723), we obtain a triangular number (990 = T₄₄).

The spelling of 32713 in words is "thirty-two thousand, seven hundred thirteen".