164409101 has 2 divisors, whose sum is σ = 164409102. Its totient is φ = 164409100.

The previous prime is 164409059. The next prime is 164409103. The reversal of 164409101 is 101904461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88266025 + 76143076 = 9395^2 + 8726^2 .

It is a cyclic number.

It is not a de Polignac number, because 164409101 - 2¹⁰ = 164408077 is a prime.

It is a super-3 number, since 3×164409101³ (a number of 26 digits) contains 333 as substring.

Together with 164409103, 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 (164409103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82204550 + 82204551.

It is an arithmetic number, because the mean of its divisors is an integer number (82204551).

Almost surely, 2^164409101 is an apocalyptic number.

It is an amenable number.

164409101 is a deficient number, since it is larger than the sum of its proper divisors (1).

164409101 is an equidigital number, since it uses as much as digits as its factorization.

164409101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 164409101 is about 12822.2112367563. The cubic root of 164409101 is about 547.8251313485.

The spelling of 164409101 in words is "one hundred sixty-four million, four hundred nine thousand, one hundred one".