4131564 has 24 divisors (see below), whose sum is σ = 9719808. Its totient is φ = 1365840.

The previous prime is 4131539. The next prime is 4131577. The reversal of 4131564 is 4651314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 2879.

It is an arithmetic number, because the mean of its divisors is an integer number (404992).

Almost surely, 2^4131564 is an apocalyptic number.

It is an amenable number.

4131564 is an abundant number, since it is smaller than the sum of its proper divisors (5588244).

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

4131564 is a wasteful number, since it uses less digits than its factorization.

4131564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2843 counting only the distinct ones).

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

The square root of 4131564 is about 2032.6249039112. The cubic root of 4131564 is about 160.4617391160.

Adding to 4131564 its reverse (4651314), we get a palindrome (8782878).

The spelling of 4131564 in words is "four million, one hundred thirty-one thousand, five hundred sixty-four".