4564161 has 64 divisors (see below), whose sum is σ = 8601600. Its totient is φ = 2332800.

The previous prime is 4564151. The next prime is 4564193. The reversal of 4564161 is 1614654.

It is not a de Polignac number, because 4564161 - 2⁹ = 4563649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

4564161 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4564111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111301 + ... + 111341.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

Almost surely, 2^4564161 is an apocalyptic number.

4564161 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4564161 is a deficient number, since it is larger than the sum of its proper divisors (4037439).

4564161 is a wasteful number, since it uses less digits than its factorization.

4564161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4564161 is about 2136.3897116397. The cubic root of 4564161 is about 165.8773105143.

The spelling of 4564161 in words is "four million, five hundred sixty-four thousand, one hundred sixty-one".