12457305 has 48 divisors (see below), whose sum is σ = 25069824. Its totient is φ = 5604480.

The previous prime is 12457301. The next prime is 12457307. The reversal of 12457305 is 50375421.

It is a happy number.

It is not a de Polignac number, because 12457305 - 2² = 12457301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12457301) 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 47 ways as a sum of consecutive naturals, for example, 22087 + ... + 22643.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^12457305 is an apocalyptic number.

12457305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12457305 is an abundant number, since it is smaller than the sum of its proper divisors (12612519).

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

12457305 is a wasteful number, since it uses less digits than its factorization.

12457305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 643 counting only the distinct ones).

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

The square root of 12457305 is about 3529.4907564690. The cubic root of 12457305 is about 231.8149100933.

The spelling of 12457305 in words is "twelve million, four hundred fifty-seven thousand, three hundred five".