164413 has 2 divisors, whose sum is σ = 164414. Its totient is φ = 164412.

The previous prime is 164387. The next prime is 164419. The reversal of 164413 is 314461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 2809 = 402^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 164413 - 2⁹ = 163901 is a prime.

It is a super-3 number, since 3×164413³ = 13333056403178991, which contains 333 as substring.

164413 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82206 + 82207.

It is an arithmetic number, because the mean of its divisors is an integer number (82207).

2¹⁶⁴⁴¹³ is an apocalyptic number.

It is an amenable number.

164413 is a deficient number, since it is larger than the sum of its proper divisors (1).

164413 is an equidigital number, since it uses as much as digits as its factorization.

164413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 19.

The square root of 164413 is about 405.4787294051. The cubic root of 164413 is about 54.7829461914.

Adding to 164413 its reverse (314461), we get a palindrome (478874).

The spelling of 164413 in words is "one hundred sixty-four thousand, four hundred thirteen".