13005850 has 96 divisors (see below), whose sum is σ = 30373056. Its totient is φ = 4070400.

The previous prime is 13005767. The next prime is 13005859. The reversal of 13005850 is 5850031.

It is a Harshad number since it is a multiple of its sum of digits (22).

13005850 is a modest number, since divided by 5850 gives 1300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13005859) 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 47 ways as a sum of consecutive naturals, for example, 121497 + ... + 121603.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 2^13005850 is an apocalyptic number.

13005850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005850 is an abundant number, since it is smaller than the sum of its proper divisors (17367206).

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

13005850 is a wasteful number, since it uses less digits than its factorization.

13005850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 13005850 is about 3606.3624332560. The cubic root of 13005850 is about 235.1687335032.

Adding to 13005850 its reverse (5850031), we get a palindrome (18855881).

The spelling of 13005850 in words is "thirteen million, five thousand, eight hundred fifty".