4075965 has 24 divisors (see below), whose sum is σ = 7202520. Its totient is φ = 2131584.

The previous prime is 4075963. The next prime is 4075987. The reversal of 4075965 is 5695704.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 3790809 = 534^2 + 1947^2 .

It is not a de Polignac number, because 4075965 - 2¹ = 4075963 is a prime.

It is a super-2 number, since 2×4075965² = 33226981362450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (300105).

Almost surely, 2^4075965 is an apocalyptic number.

4075965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4075965 is a deficient number, since it is larger than the sum of its proper divisors (3126555).

4075965 is a wasteful number, since it uses less digits than its factorization.

4075965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4075965 is about 2018.9019292675. The cubic root of 4075965 is about 159.7387011045.

The spelling of 4075965 in words is "four million, seventy-five thousand, nine hundred sixty-five".