5585965 has 24 divisors (see below), whose sum is σ = 8426880. Its totient is φ = 3479520.

The previous prime is 5585959. The next prime is 5585969. The reversal of 5585965 is 5695855.

It is not a de Polignac number, because 5585965 - 2⁵ = 5585933 is a prime.

It is a d-powerful number, because it can be written as 5 + 5 + 8 + 5⁹ + 9² + 6⁸ + 5⁹ .

5585965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585969) 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, 3576 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 2^5585965 is an apocalyptic number.

5585965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5585965 is a deficient number, since it is larger than the sum of its proper divisors (2840915).

5585965 is a wasteful number, since it uses less digits than its factorization.

5585965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

The product of its digits is 270000, while the sum is 43.

The square root of 5585965 is about 2363.4646178862. The cubic root of 5585965 is about 177.4323222780.

The spelling of 5585965 in words is "five million, five hundred eighty-five thousand, nine hundred sixty-five".