13785830 has 48 divisors (see below), whose sum is σ = 27352080. Its totient is φ = 4987008.

The previous prime is 13785823. The next prime is 13785839. The reversal of 13785830 is 3858731.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785839) 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 23 ways as a sum of consecutive naturals, for example, 260084 + ... + 260136.

It is an arithmetic number, because the mean of its divisors is an integer number (569835).

Almost surely, 2^13785830 is an apocalyptic number.

13785830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13785830 is a deficient number, since it is larger than the sum of its proper divisors (13566250).

13785830 is a wasteful number, since it uses less digits than its factorization.

13785830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 13785830 is about 3712.9274164734. The cubic root of 13785830 is about 239.7789051800.

The spelling of 13785830 in words is "thirteen million, seven hundred eighty-five thousand, eight hundred thirty".