13785042 has 16 divisors (see below), whose sum is σ = 27688320. Its totient is φ = 4575312.

The previous prime is 13785041. The next prime is 13785091. The reversal of 13785042 is 24058731.

It is a super-4 number, since 4×13785042⁴ (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13785041) 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 7 ways as a sum of consecutive naturals, for example, 3373 + ... + 6240.

It is an arithmetic number, because the mean of its divisors is an integer number (1730520).

Almost surely, 2^13785042 is an apocalyptic number.

13785042 is an abundant number, since it is smaller than the sum of its proper divisors (13903278).

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

13785042 is a wasteful number, since it uses less digits than its factorization.

13785042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13785042 is about 3712.8212992279. The cubic root of 13785042 is about 239.7743364942.

The spelling of 13785042 in words is "thirteen million, seven hundred eighty-five thousand, forty-two".