13585941 has 16 divisors (see below), whose sum is σ = 21312000. Its totient is φ = 8524224.

The previous prime is 13585937. The next prime is 13585963. The reversal of 13585941 is 14958531.

13585941 is a `hidden beast` number, since 13 + 58 + 594 + 1 = 666.

It is not a de Polignac number, because 13585941 - 2² = 13585937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13585896 and 13585905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14341 + ... + 15258.

It is an arithmetic number, because the mean of its divisors is an integer number (1332000).

Almost surely, 2^13585941 is an apocalyptic number.

It is an amenable number.

13585941 is a deficient number, since it is larger than the sum of its proper divisors (7726059).

13585941 is a wasteful number, since it uses less digits than its factorization.

13585941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29625 (or 29619 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 13585941 is about 3685.9111492276. The cubic root of 13585941 is about 238.6143591436.

The spelling of 13585941 in words is "thirteen million, five hundred eighty-five thousand, nine hundred forty-one".