164008905 has 8 divisors (see below), whose sum is σ = 262414272. Its totient is φ = 87471408.

The previous prime is 164008903. The next prime is 164008907. The reversal of 164008905 is 509800461.

164008905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164008903) and next prime (164008907).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164008905 - 2¹ = 164008903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164008903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5466949 + ... + 5466978.

It is an arithmetic number, because the mean of its divisors is an integer number (32801784).

Almost surely, 2^164008905 is an apocalyptic number.

164008905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164008905 is a deficient number, since it is larger than the sum of its proper divisors (98405367).

164008905 is a wasteful number, since it uses less digits than its factorization.

164008905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10933935.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 164008905 is about 12806.5961519836. The cubic root of 164008905 is about 547.3802744817.

The spelling of 164008905 in words is "one hundred sixty-four million, eight thousand, nine hundred five".