13185642 has 32 divisors (see below), whose sum is σ = 28086912. Its totient is φ = 4112384.

The previous prime is 13185637. The next prime is 13185643. The reversal of 13185642 is 24658131.

It is a super-2 number, since 2×13185642² = 347722309904328, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13185643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25963 + ... + 26465.

It is an arithmetic number, because the mean of its divisors is an integer number (877716).

Almost surely, 2^13185642 is an apocalyptic number.

13185642 is an abundant number, since it is smaller than the sum of its proper divisors (14901270).

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

13185642 is a wasteful number, since it uses less digits than its factorization.

13185642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782.

The product of its digits is 5760, while the sum is 30.

The square root of 13185642 is about 3631.2039325821. The cubic root of 13185642 is about 236.2474303351.

The spelling of 13185642 in words is "thirteen million, one hundred eighty-five thousand, six hundred forty-two".