164213511 has 32 divisors (see below), whose sum is σ = 280370688. Its totient is φ = 82995840.

The previous prime is 164213501. The next prime is 164213527. The reversal of 164213511 is 115312461.

It is a happy number.

164213511 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 164213511 - 2⁷ = 164213383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164213501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060 + ... + 18153.

It is an arithmetic number, because the mean of its divisors is an integer number (8761584).

Almost surely, 2^164213511 is an apocalyptic number.

164213511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164213511 is a deficient number, since it is larger than the sum of its proper divisors (116157177).

164213511 is a wasteful number, since it uses less digits than its factorization.

164213511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19271.

The product of its digits is 720, while the sum is 24.

The square root of 164213511 is about 12814.5819674307. The cubic root of 164213511 is about 547.6078042965.

Adding to 164213511 its reverse (115312461), we get a palindrome (279525972).

The spelling of 164213511 in words is "one hundred sixty-four million, two hundred thirteen thousand, five hundred eleven".