164412109 has 2 divisors, whose sum is σ = 164412110. Its totient is φ = 164412108.

The previous prime is 164412047. The next prime is 164412121. The reversal of 164412109 is 901214461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144072009 + 20340100 = 12003^2 + 4510^2 .

It is a cyclic number.

It is not a de Polignac number, because 164412109 - 2¹³ = 164403917 is a prime.

It is a super-3 number, since 3×164412109³ (a number of 26 digits) contains 333 as substring.

It is equal to p_9207901 and since 164412109 and 9207901 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164412139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82206054 + 82206055.

It is an arithmetic number, because the mean of its divisors is an integer number (82206055).

Almost surely, 2^164412109 is an apocalyptic number.

It is an amenable number.

164412109 is a deficient number, since it is larger than the sum of its proper divisors (1).

164412109 is an equidigital number, since it uses as much as digits as its factorization.

164412109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 164412109 is about 12822.3285326808. The cubic root of 164412109 is about 547.8284722988.

The spelling of 164412109 in words is "one hundred sixty-four million, four hundred twelve thousand, one hundred nine".