131585805 has 48 divisors (see below), whose sum is σ = 251387136. Its totient is φ = 63262080.

The previous prime is 131585767. The next prime is 131585809. The reversal of 131585805 is 508585131.

It is not a de Polignac number, because 131585805 - 2⁸ = 131585549 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131585805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131585809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22540 + ... + 27770.

It is an arithmetic number, because the mean of its divisors is an integer number (5237232).

Almost surely, 2^131585805 is an apocalyptic number.

131585805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131585805 is a deficient number, since it is larger than the sum of its proper divisors (119801331).

131585805 is a wasteful number, since it uses less digits than its factorization.

131585805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 131585805 is about 11471.0856068639. The cubic root of 131585805 is about 508.6312200692.

The spelling of 131585805 in words is "one hundred thirty-one million, five hundred eighty-five thousand, eight hundred five".