164964405 has 16 divisors (see below), whose sum is σ = 264139200. Its totient is φ = 87915648.

The previous prime is 164964391. The next prime is 164964419. The reversal of 164964405 is 504469461.

It is an interprime number because it is at equal distance from previous prime (164964391) and next prime (164964419).

It is not a de Polignac number, because 164964405 - 2⁹ = 164963893 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22249 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (16508700).

Almost surely, 2^164964405 is an apocalyptic number.

164964405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164964405 is a deficient number, since it is larger than the sum of its proper divisors (99174795).

164964405 is a wasteful number, since it uses less digits than its factorization.

164964405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 164964405 is about 12843.8469704369. The cubic root of 164964405 is about 548.4412116615.

The spelling of 164964405 in words is "one hundred sixty-four million, nine hundred sixty-four thousand, four hundred five".