164217629 has 2 divisors, whose sum is σ = 164217630. Its totient is φ = 164217628.

The previous prime is 164217623. The next prime is 164217667. The reversal of 164217629 is 926712461.

164217629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (164217667) can be obtained adding 164217629 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143760100 + 20457529 = 11990^2 + 4523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164217629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164217592 and 164217601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164217623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82108814 + 82108815.

It is an arithmetic number, because the mean of its divisors is an integer number (82108815).

Almost surely, 2^164217629 is an apocalyptic number.

It is an amenable number.

164217629 is a deficient number, since it is larger than the sum of its proper divisors (1).

164217629 is an equidigital number, since it uses as much as digits as its factorization.

164217629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 164217629 is about 12814.7426427533. The cubic root of 164217629 is about 547.6123817317.

The spelling of 164217629 in words is "one hundred sixty-four million, two hundred seventeen thousand, six hundred twenty-nine".