13835540 has 24 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 5508608.

The previous prime is 13835513. The next prime is 13835543. The reversal of 13835540 is 4553831.

It can be written as a sum of positive squares in 4 ways, for example, as 498436 + 13337104 = 706^2 + 3652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835543) 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 7 ways as a sum of consecutive naturals, for example, 3176 + ... + 6144.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 2^13835540 is an apocalyptic number.

13835540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13835540 is an abundant number, since it is smaller than the sum of its proper divisors (15353620).

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

13835540 is a wasteful number, since it uses less digits than its factorization.

13835540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 13835540 is about 3719.6155715342. The cubic root of 13835540 is about 240.0667638331.

The spelling of 13835540 in words is "thirteen million, eight hundred thirty-five thousand, five hundred forty".