10412657 has 2 divisors, whose sum is σ = 10412658. Its totient is φ = 10412656.

The previous prime is 10412587. The next prime is 10412663. The reversal of 10412657 is 75621401.

10412657 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8814961 + 1597696 = 2969^2 + 1264^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412657 - 2¹⁴ = 10396273 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10412357) 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 as a sum of consecutive naturals, namely, 5206328 + 5206329.

It is an arithmetic number, because the mean of its divisors is an integer number (5206329).

Almost surely, 2^10412657 is an apocalyptic number.

It is an amenable number.

10412657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412657 is an equidigital number, since it uses as much as digits as its factorization.

10412657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10412657 is about 3226.8648871622. The cubic root of 10412657 is about 218.3670904560.

The spelling of 10412657 in words is "ten million, four hundred twelve thousand, six hundred fifty-seven".