164264113 has 6 divisors (see below), whose sum is σ = 177871974. Its totient is φ = 151628256.

The previous prime is 164264099. The next prime is 164264123. The reversal of 164264113 is 311462461.

164264113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17539344 + 146724769 = 4188^2 + 12113^2 .

It is not a de Polignac number, because 164264113 - 2⁹ = 164263601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164264123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 485820 + ... + 486157.

It is an arithmetic number, because the mean of its divisors is an integer number (29645329).

Almost surely, 2^164264113 is an apocalyptic number.

164264113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164264113 is a deficient number, since it is larger than the sum of its proper divisors (13607861).

164264113 is an equidigital number, since it uses as much as digits as its factorization.

164264113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972003 (or 971990 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 164264113 is about 12816.5562067195. The cubic root of 164264113 is about 547.6640465310.

The spelling of 164264113 in words is "one hundred sixty-four million, two hundred sixty-four thousand, one hundred thirteen".