13735330 has 32 divisors (see below), whose sum is σ = 28408320. Its totient is φ = 4683840.

The previous prime is 13735307. The next prime is 13735331. The reversal of 13735330 is 3353731.

It is a junction number, because it is equal to n+sod(n) for n = 13735295 and 13735304.

It is not an unprimeable number, because it can be changed into a prime (13735331) 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 15 ways as a sum of consecutive naturals, for example, 16320 + ... + 17140.

It is an arithmetic number, because the mean of its divisors is an integer number (887760).

Almost surely, 2^13735330 is an apocalyptic number.

13735330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13735330 is an abundant number, since it is smaller than the sum of its proper divisors (14672990).

13735330 is a wasteful number, since it uses less digits than its factorization.

13735330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its (nonzero) digits is 2835, while the sum is 25.

The square root of 13735330 is about 3706.1206132559. The cubic root of 13735330 is about 239.4857623782.

The spelling of 13735330 in words is "thirteen million, seven hundred thirty-five thousand, three hundred thirty".