12857641 has 16 divisors (see below), whose sum is σ = 13780368. Its totient is φ = 11980800.

The previous prime is 12857629. The next prime is 12857651. The reversal of 12857641 is 14675821.

12857641 = 315² + 316² + ... + 411².

It can be written as a sum of positive squares in 8 ways, for example, as 2903616 + 9954025 = 1704^2 + 3155^2 .

It is a cyclic number.

It is not a de Polignac number, because 12857641 - 2⁵ = 12857609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12857597 and 12857606.

It is not an unprimeable number, because it can be changed into a prime (12857651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132505 + ... + 132601.

It is an arithmetic number, because the mean of its divisors is an integer number (861273).

Almost surely, 2^12857641 is an apocalyptic number.

It is an amenable number.

12857641 is a deficient number, since it is larger than the sum of its proper divisors (922727).

12857641 is an equidigital number, since it uses as much as digits as its factorization.

12857641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its digits is 13440, while the sum is 34.

The square root of 12857641 is about 3585.7552900330. The cubic root of 12857641 is about 234.2720251874.

It can be divided in two parts, 128576 and 41, that multiplied together give a square (5271616 = 2296²).

The spelling of 12857641 in words is "twelve million, eight hundred fifty-seven thousand, six hundred forty-one".