13705125 has 64 divisors (see below), whose sum is σ = 27316224. Its totient is φ = 5966400.

The previous prime is 13705117. The next prime is 13705147. The reversal of 13705125 is 52150731.

It is not a de Polignac number, because 13705125 - 2³ = 13705117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13705095 and 13705104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 60262 + ... + 60488.

It is an arithmetic number, because the mean of its divisors is an integer number (426816).

Almost surely, 2^13705125 is an apocalyptic number.

13705125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13705125 is a deficient number, since it is larger than the sum of its proper divisors (13611099).

13705125 is a wasteful number, since it uses less digits than its factorization.

13705125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 13705125 is about 3702.0433546894. The cubic root of 13705125 is about 239.3100846091.

Adding to 13705125 its reverse (52150731), we get a palindrome (65855856).

The spelling of 13705125 in words is "thirteen million, seven hundred five thousand, one hundred twenty-five".