12477641 has 12 divisors (see below), whose sum is σ = 13864452. Its totient is φ = 11220000.

The previous prime is 12477637. The next prime is 12477649. The reversal of 12477641 is 14677421.

It can be written as a sum of positive squares in 2 ways, for example, as 10106041 + 2371600 = 3179^2 + 1540^2 .

It is not a de Polignac number, because 12477641 - 2² = 12477637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12477598 and 12477607.

It is not an unprimeable number, because it can be changed into a prime (12477649) 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, 11711 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (1155371).

Almost surely, 2^12477641 is an apocalyptic number.

12477641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12477641 is a deficient number, since it is larger than the sum of its proper divisors (1386811).

12477641 is a wasteful number, since it uses less digits than its factorization.

12477641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1133 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 12477641 is about 3532.3704505615. The cubic root of 12477641 is about 231.9409840475.

It can be divided in two parts, 1247 and 7641, that added together give a palindrome (8888).

The spelling of 12477641 in words is "twelve million, four hundred seventy-seven thousand, six hundred forty-one".