13505723 has 12 divisors (see below), whose sum is σ = 17139672. Its totient is φ = 10523520.

The previous prime is 13505719. The next prime is 13505743. The reversal of 13505723 is 32750531.

It is not a de Polignac number, because 13505723 - 2² = 13505719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13505692 and 13505701.

It is not an unprimeable number, because it can be changed into a prime (13505743) 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 11 ways as a sum of consecutive naturals, for example, 11990 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (1428306).

Almost surely, 2^13505723 is an apocalyptic number.

13505723 is a deficient number, since it is larger than the sum of its proper divisors (3633949).

13505723 is a wasteful number, since it uses less digits than its factorization.

13505723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25082 (or 25075 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 13505723 is about 3675.0133333091. The cubic root of 13505723 is about 238.1438000648.

The spelling of 13505723 in words is "thirteen million, five hundred five thousand, seven hundred twenty-three".