66413 has 2 divisors, whose sum is σ = 66414. Its totient is φ = 66412.

The previous prime is 66403. The next prime is 66431. The reversal of 66413 is 31466.

Together with next prime (66431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 14884 = 227^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 66413 - 2¹⁶ = 877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33206 + 33207.

It is an arithmetic number, because the mean of its divisors is an integer number (33207).

2⁶⁶⁴¹³ is an apocalyptic number.

It is an amenable number.

66413 is a deficient number, since it is larger than the sum of its proper divisors (1).

66413 is an equidigital number, since it uses as much as digits as its factorization.

66413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 66413 is about 257.7071981921. The cubic root of 66413 is about 40.4965195404.

Adding to 66413 its reverse (31466), we get a palindrome (97879).

The spelling of 66413 in words is "sixty-six thousand, four hundred thirteen".