13875642 has 24 divisors (see below), whose sum is σ = 32797440. Its totient is φ = 4204680.

The previous prime is 13875637. The next prime is 13875649. The reversal of 13875642 is 24657831.

13875642 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13875597 and 13875606.

It is not an unprimeable number, because it can be changed into a prime (13875649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34842 + ... + 35237.

It is an arithmetic number, because the mean of its divisors is an integer number (1366560).

Almost surely, 2^13875642 is an apocalyptic number.

13875642 is an abundant number, since it is smaller than the sum of its proper divisors (18921798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13875642 is a wasteful number, since it uses less digits than its factorization.

13875642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70098 (or 70095 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13875642 is about 3725.0022818785. The cubic root of 13875642 is about 240.2984827962.

The spelling of 13875642 in words is "thirteen million, eight hundred seventy-five thousand, six hundred forty-two".