4135164 has 24 divisors (see below), whose sum is σ = 10526208. Its totient is φ = 1253040.

The previous prime is 4135151. The next prime is 4135169. The reversal of 4135164 is 4615314.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15532 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (438592).

Almost surely, 2^4135164 is an apocalyptic number.

4135164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4135164 is an abundant number, since it is smaller than the sum of its proper divisors (6391044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4135164 is a wasteful number, since it uses less digits than its factorization.

4135164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345 (or 31343 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 4135164 is about 2033.5102655261. The cubic root of 4135164 is about 160.5083312025.

The spelling of 4135164 in words is "four million, one hundred thirty-five thousand, one hundred sixty-four".