164566413 has 36 divisors (see below), whose sum is σ = 262635100. Its totient is φ = 99221760.

The previous prime is 164566379. The next prime is 164566453. The reversal of 164566413 is 314665461.

It is a happy number.

164566413 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 6 + 641 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 98664489 = 8118^2 + 9933^2 .

It is not a de Polignac number, because 164566413 - 2¹² = 164562317 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

164566413 is a Rhonda number in base 8.

Its product of digits (51840) is a multiple of the sum of its prime factors (810).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164566453) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379845 + ... + 380277.

Almost surely, 2^164566413 is an apocalyptic number.

It is an amenable number.

164566413 is a deficient number, since it is larger than the sum of its proper divisors (98068687).

164566413 is a wasteful number, since it uses less digits than its factorization.

164566413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164566413 is about 12828.3441254123. The cubic root of 164566413 is about 547.9998013124. Note that the first 3 decimals are identical.

The spelling of 164566413 in words is "one hundred sixty-four million, five hundred sixty-six thousand, four hundred thirteen".