13585642 has 12 divisors (see below), whose sum is σ = 23705730. Its totient is φ = 5822376.

The previous prime is 13585633. The next prime is 13585643. The reversal of 13585642 is 24658531.

It can be written as a sum of positive squares in only one way, i.e., 11148921 + 2436721 = 3339^2 + 1561^2 .

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 13585598 and 13585607.

It is not an unprimeable number, because it can be changed into a prime (13585643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69217 + ... + 69412.

Almost surely, 2^13585642 is an apocalyptic number.

13585642 is a deficient number, since it is larger than the sum of its proper divisors (10120088).

13585642 is a wasteful number, since it uses less digits than its factorization.

13585642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138645 (or 138638 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 13585642 is about 3685.8705891553. The cubic root of 13585642 is about 238.6126086522.

The spelling of 13585642 in words is "thirteen million, five hundred eighty-five thousand, six hundred forty-two".