32766313 has 2 divisors, whose sum is σ = 32766314. Its totient is φ = 32766312.

The previous prime is 32766311. The next prime is 32766323. The reversal of 32766313 is 31366723.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19784704 + 12981609 = 4448^2 + 3603^2 .

It is an emirp because it is prime and its reverse (31366723) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32766313 - 2¹ = 32766311 is a prime.

It is a super-2 number, since 2×32766313² = 2147262535227938, which contains 22 as substring.

Together with 32766311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (32766311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16383156 + 16383157.

It is an arithmetic number, because the mean of its divisors is an integer number (16383157).

Almost surely, 2^32766313 is an apocalyptic number.

It is an amenable number.

32766313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32766313 is an equidigital number, since it uses as much as digits as its factorization.

32766313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 31.

The square root of 32766313 is about 5724.1866671170. The cubic root of 32766313 is about 319.9945083693.

The spelling of 32766313 in words is "thirty-two million, seven hundred sixty-six thousand, three hundred thirteen".