164040029 has 2 divisors, whose sum is σ = 164040030. Its totient is φ = 164040028.

The previous prime is 164040013. The next prime is 164040031. The reversal of 164040029 is 920040461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99960004 + 64080025 = 9998^2 + 8005^2 .

It is a cyclic number.

It is not a de Polignac number, because 164040029 - 2⁴ = 164040013 is a prime.

It is a super-2 number, since 2×164040029² = 53818262228641682, which contains 22 as substring.

Together with 164040031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164040329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82020014 + 82020015.

It is an arithmetic number, because the mean of its divisors is an integer number (82020015).

Almost surely, 2^164040029 is an apocalyptic number.

It is an amenable number.

164040029 is a deficient number, since it is larger than the sum of its proper divisors (1).

164040029 is an equidigital number, since it uses as much as digits as its factorization.

164040029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 164040029 is about 12807.8112493900. The cubic root of 164040029 is about 547.4148977767.

The spelling of 164040029 in words is "one hundred sixty-four million, forty thousand, twenty-nine".