4131865 has 8 divisors (see below), whose sum is σ = 4974408. Its totient is φ = 3294720.

The previous prime is 4131859. The next prime is 4131877. The reversal of 4131865 is 5681314.

4131865 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 4 ways, for example, as 491401 + 3640464 = 701^2 + 1908^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4131865 - 2⁹ = 4131353 is a prime.

It is a Duffinian number.

4131865 is a lucky 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 7 ways as a sum of consecutive naturals, for example, 595 + ... + 2935.

It is an arithmetic number, because the mean of its divisors is an integer number (621801).

Almost surely, 2^4131865 is an apocalyptic number.

It is an amenable number.

4131865 is a deficient number, since it is larger than the sum of its proper divisors (842543).

4131865 is a wasteful number, since it uses less digits than its factorization.

4131865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699.

The product of its digits is 2880, while the sum is 28.

The square root of 4131865 is about 2032.6989447530. The cubic root of 4131865 is about 160.4656357688.

It can be divided in two parts, 413 and 1865, that added together give a triangular number (2278 = T₆₇).

The spelling of 4131865 in words is "four million, one hundred thirty-one thousand, eight hundred sixty-five".