65735213 has 2 divisors, whose sum is σ = 65735214. Its totient is φ = 65735212.

The previous prime is 65735207. The next prime is 65735227. The reversal of 65735213 is 31253756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65577604 + 157609 = 8098^2 + 397^2 .

It is a cyclic number.

It is not a de Polignac number, because 65735213 - 2¹² = 65731117 is a prime.

It is a super-2 number, since 2×65735213² = 8642236456310738, which contains 22 as substring.

It is equal to p_3881372 and since 65735213 and 3881372 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65735213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65735513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32867606 + 32867607.

It is an arithmetic number, because the mean of its divisors is an integer number (32867607).

Almost surely, 2^65735213 is an apocalyptic number.

It is an amenable number.

65735213 is a deficient number, since it is larger than the sum of its proper divisors (1).

65735213 is an equidigital number, since it uses as much as digits as its factorization.

65735213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18900, while the sum is 32.

The square root of 65735213 is about 8107.7255133607. The cubic root of 65735213 is about 403.5828394209.

Adding to 65735213 its reverse (31253756), we get a palindrome (96988969).

The spelling of 65735213 in words is "sixty-five million, seven hundred thirty-five thousand, two hundred thirteen".