65731 has 2 divisors, whose sum is σ = 65732. Its totient is φ = 65730.

The previous prime is 65729. The next prime is 65761. The reversal of 65731 is 13756.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 65731 - 2¹ = 65729 is a prime.

It is a super-2 number, since 2×65731² = 8641128722, which contains 22 as substring.

Together with 65729, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65701) 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, 32865 + 32866.

It is an arithmetic number, because the mean of its divisors is an integer number (32866).

2⁶⁵⁷³¹ is an apocalyptic number.

65731 is a deficient number, since it is larger than the sum of its proper divisors (1).

65731 is an equidigital number, since it uses as much as digits as its factorization.

65731 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 65731 is about 256.3805764874. The cubic root of 65731 is about 40.3574217300.

The spelling of 65731 in words is "sixty-five thousand, seven hundred thirty-one".