13478257 has 12 divisors (see below), whose sum is σ = 14711004. Its totient is φ = 12342720.

The previous prime is 13478251. The next prime is 13478261. The reversal of 13478257 is 75287431.

It can be written as a sum of positive squares in 6 ways, for example, as 776161 + 12702096 = 881^2 + 3564^2 .

It is not a de Polignac number, because 13478257 - 2¹¹ = 13476209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13478251) 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, 29007 + ... + 29467.

It is an arithmetic number, because the mean of its divisors is an integer number (1225917).

Almost surely, 2^13478257 is an apocalyptic number.

It is an amenable number.

13478257 is a deficient number, since it is larger than the sum of its proper divisors (1232747).

13478257 is a wasteful number, since it uses less digits than its factorization.

13478257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 647 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 13478257 is about 3671.2745743134. The cubic root of 13478257 is about 237.9822562861.

It can be divided in two parts, 1347 and 8257, that added together give a square (9604 = 98²).

The spelling of 13478257 in words is "thirteen million, four hundred seventy-eight thousand, two hundred fifty-seven".