13257405 has 32 divisors (see below), whose sum is σ = 26937600. Its totient is φ = 6060096.

The previous prime is 13257401. The next prime is 13257443. The reversal of 13257405 is 50475231.

It is a happy number.

13257405 is a `hidden beast` number, since 1 + 3 + 257 + 405 = 666.

It is not a de Polignac number, because 13257405 - 2² = 13257401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257401) 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 31 ways as a sum of consecutive naturals, for example, 6070 + ... + 7959.

It is an arithmetic number, because the mean of its divisors is an integer number (841800).

Almost surely, 2^13257405 is an apocalyptic number.

13257405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13257405 is an abundant number, since it is smaller than the sum of its proper divisors (13680195).

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

13257405 is a wasteful number, since it uses less digits than its factorization.

13257405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 13257405 is about 3641.0719575422. The cubic root of 13257405 is about 236.6752482065.

The spelling of 13257405 in words is "thirteen million, two hundred fifty-seven thousand, four hundred five".