164009519 has 2 divisors, whose sum is σ = 164009520. Its totient is φ = 164009518.

The previous prime is 164009497. The next prime is 164009551. The reversal of 164009519 is 915900461.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164009519 - 2²⁰ = 162960943 is a prime.

It is a super-2 number, since 2×164009519² = 53798244645222722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164009119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82004759 + 82004760.

It is an arithmetic number, because the mean of its divisors is an integer number (82004760).

Almost surely, 2^164009519 is an apocalyptic number.

164009519 is a deficient number, since it is larger than the sum of its proper divisors (1).

164009519 is an equidigital number, since it uses as much as digits as its factorization.

164009519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 164009519 is about 12806.6201239828. The cubic root of 164009519 is about 547.3809575565.

The spelling of 164009519 in words is "one hundred sixty-four million, nine thousand, five hundred nineteen".