164333505 has 48 divisors (see below), whose sum is σ = 319192704. Its totient is φ = 71850240.

The previous prime is 164333501. The next prime is 164333537. The reversal of 164333505 is 505333461.

It is a happy number.

164333505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164333505 - 2² = 164333501 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164333501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12045 + ... + 21765.

It is an arithmetic number, because the mean of its divisors is an integer number (6649848).

Almost surely, 2^164333505 is an apocalyptic number.

164333505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164333505 is a deficient number, since it is larger than the sum of its proper divisors (154859199).

164333505 is a wasteful number, since it uses less digits than its factorization.

164333505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 164333505 is about 12819.2630443407. The cubic root of 164333505 is about 547.7411543720.

Adding to 164333505 its reverse (505333461), we get a palindrome (669666966).

The spelling of 164333505 in words is "one hundred sixty-four million, three hundred thirty-three thousand, five hundred five".