13505837 has 8 divisors (see below), whose sum is σ = 14355000. Its totient is φ = 12706752.

The previous prime is 13505813. The next prime is 13505857. The reversal of 13505837 is 73850531.

13505837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 682276 + 12823561 = 826^2 + 3581^2 .

It is not a de Polignac number, because 13505837 - 2⁶ = 13505773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3539 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (1794375).

Almost surely, 2^13505837 is an apocalyptic number.

13505837 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13505837 is a deficient number, since it is larger than the sum of its proper divisors (849163).

13505837 is an frugal number, since it uses more digits than its factorization.

13505837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 13505837 is about 3675.0288434242. The cubic root of 13505837 is about 238.1444701095.

The spelling of 13505837 in words is "thirteen million, five hundred five thousand, eight hundred thirty-seven".