4165825 has 12 divisors (see below), whose sum is σ = 5192748. Its totient is φ = 3315200.

The previous prime is 4165787. The next prime is 4165849. The reversal of 4165825 is 5285614.

4165825 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 6 ways, for example, as 144 + 4165681 = 12^2 + 2041^2 .

It is not a de Polignac number, because 4165825 - 2¹⁹ = 3641537 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 6729 + ... + 7321.

It is an arithmetic number, because the mean of its divisors is an integer number (432729).

Almost surely, 2^4165825 is an apocalyptic number.

It is an amenable number.

4165825 is a deficient number, since it is larger than the sum of its proper divisors (1026923).

4165825 is a wasteful number, since it uses less digits than its factorization.

4165825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 879 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 4165825 is about 2041.0352765202. The cubic root of 4165825 is about 160.9040617682.

It can be divided in two parts, 416 and 5825, that added together give a square (6241 = 79²).

The spelling of 4165825 in words is "four million, one hundred sixty-five thousand, eight hundred twenty-five".