65713 has 2 divisors, whose sum is σ = 65714. Its totient is φ = 65712.

The previous prime is 65707. The next prime is 65717. The reversal of 65713 is 31756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 2209 = 252^2 + 47^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65713 is a prime.

It is an Ulam number.

65713 is a lucky number.

It is equal to p₆₅₆₅ and since 65713 and 6565 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (65717) 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 as a sum of consecutive naturals, namely, 32856 + 32857.

It is an arithmetic number, because the mean of its divisors is an integer number (32857).

2⁶⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

65713 is a deficient number, since it is larger than the sum of its proper divisors (1).

65713 is an equidigital number, since it uses as much as digits as its factorization.

65713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 22.

The square root of 65713 is about 256.3454700204. The cubic root of 65713 is about 40.3537375226.

The spelling of 65713 in words is "sixty-five thousand, seven hundred thirteen".