164038305 has 16 divisors (see below), whose sum is σ = 276275520. Its totient is φ = 82882368.

The previous prime is 164038283. The next prime is 164038327. The reversal of 164038305 is 503830461.

It is an interprime number because it is at equal distance from previous prime (164038283) and next prime (164038327).

It is not a de Polignac number, because 164038305 - 2¹⁰ = 164037281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287502 + ... + 288071.

It is an arithmetic number, because the mean of its divisors is an integer number (17267220).

Almost surely, 2^164038305 is an apocalyptic number.

164038305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164038305 is a deficient number, since it is larger than the sum of its proper divisors (112237215).

164038305 is a wasteful number, since it uses less digits than its factorization.

164038305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575600.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 164038305 is about 12807.7439465348. The cubic root of 164038305 is about 547.4129800606.

Adding to 164038305 its reverse (503830461), we get a palindrome (667868766).

The spelling of 164038305 in words is "one hundred sixty-four million, thirty-eight thousand, three hundred five".