3967565 has 8 divisors (see below), whose sum is σ = 5441280. Its totient is φ = 2720592.

The previous prime is 3967553. The next prime is 3967571. The reversal of 3967565 is 5657693.

3967565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 3967565 - 2¹⁰ = 3966541 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 9⁵ + 6² + 7 + 5⁹ + 6² + 5⁹ .

It is a congruent 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, 56645 + ... + 56714.

It is an arithmetic number, because the mean of its divisors is an integer number (680160).

Almost surely, 2^3967565 is an apocalyptic number.

3967565 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3967565 is a deficient number, since it is larger than the sum of its proper divisors (1473715).

3967565 is a wasteful number, since it uses less digits than its factorization.

3967565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113371.

The product of its digits is 170100, while the sum is 41.

The square root of 3967565 is about 1991.8747450580. The cubic root of 3967565 is about 158.3098789512.

The spelling of 3967565 in words is "three million, nine hundred sixty-seven thousand, five hundred sixty-five".