4085965 has 8 divisors (see below), whose sum is σ = 5280408. Its totient is φ = 3017280.

The previous prime is 4085957. The next prime is 4085981. The reversal of 4085965 is 5695804.

It can be written as a sum of positive squares in 4 ways, for example, as 751689 + 3334276 = 867^2 + 1826^2 .

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

It is not a de Polignac number, because 4085965 - 2³ = 4085957 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 31366 + ... + 31495.

It is an arithmetic number, because the mean of its divisors is an integer number (660051).

Almost surely, 2^4085965 is an apocalyptic number.

It is an amenable number.

4085965 is a deficient number, since it is larger than the sum of its proper divisors (1194443).

4085965 is a wasteful number, since it uses less digits than its factorization.

4085965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62879.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 4085965 is about 2021.3770059046. The cubic root of 4085965 is about 159.8692290852.

It can be divided in two parts, 4085 and 965, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 4085965 in words is "four million, eighty-five thousand, nine hundred sixty-five".