4187264 has 16 divisors (see below), whose sum is σ = 8342070. Its totient is φ = 2093568.

The previous prime is 4187257. The next prime is 4187269. The reversal of 4187264 is 4627814.

4187264 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 only one way, i.e., 3534400 + 652864 = 1880^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4187264.

It is not an unprimeable number, because it can be changed into a prime (4187269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16229 + ... + 16484.

Almost surely, 2^4187264 is an apocalyptic number.

It is an amenable number.

4187264 is a deficient number, since it is larger than the sum of its proper divisors (4154806).

4187264 is an equidigital number, since it uses as much as digits as its factorization.

4187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32727 (or 32715 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 4187264 is about 2046.2805281779. The cubic root of 4187264 is about 161.1796151364.

The spelling of 4187264 in words is "four million, one hundred eighty-seven thousand, two hundred sixty-four".