164208029 has 2 divisors, whose sum is σ = 164208030. Its totient is φ = 164208028.

The previous prime is 164207999. The next prime is 164208047. The reversal of 164208029 is 920802461.

164208029 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132825625 + 31382404 = 11525^2 + 5602^2 .

It is a cyclic number.

It is not a de Polignac number, because 164208029 - 2¹² = 164203933 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164207986 and 164208004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164208329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82104014 + 82104015.

It is an arithmetic number, because the mean of its divisors is an integer number (82104015).

Almost surely, 2^164208029 is an apocalyptic number.

It is an amenable number.

164208029 is a deficient number, since it is larger than the sum of its proper divisors (1).

164208029 is an equidigital number, since it uses as much as digits as its factorization.

164208029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 164208029 is about 12814.3680686954. The cubic root of 164208029 is about 547.6017105645.

The spelling of 164208029 in words is "one hundred sixty-four million, two hundred eight thousand, twenty-nine".