65413 has 2 divisors, whose sum is σ = 65414. Its totient is φ = 65412.

The previous prime is 65407. The next prime is 65419. The reversal of 65413 is 31456.

It is a balanced prime because it is at equal distance from previous prime (65407) and next prime (65419).

It can be written as a sum of positive squares in only one way, i.e., 49284 + 16129 = 222^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 65413 - 2⁵ = 65381 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65419) 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, 32706 + 32707.

It is an arithmetic number, because the mean of its divisors is an integer number (32707).

2⁶⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

65413 is a deficient number, since it is larger than the sum of its proper divisors (1).

65413 is an equidigital number, since it uses as much as digits as its factorization.

65413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 65413 is about 255.7596527993. The cubic root of 65413 is about 40.2922347715.

Adding to 65413 its reverse (31456), we get a palindrome (96869).

The spelling of 65413 in words is "sixty-five thousand, four hundred thirteen".