10007657 has 4 divisors (see below), whose sum is σ = 10917456. Its totient is φ = 9097860.

The previous prime is 10007653. The next prime is 10007659. The reversal of 10007657 is 75670001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10007657 - 2² = 10007653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10007653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454883 + ... + 454904.

It is an arithmetic number, because the mean of its divisors is an integer number (2729364).

Almost surely, 2^10007657 is an apocalyptic number.

It is an amenable number.

10007657 is a deficient number, since it is larger than the sum of its proper divisors (909799).

10007657 is an equidigital number, since it uses as much as digits as its factorization.

10007657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909798.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10007657 is about 3163.4881065052. The cubic root of 10007657 is about 215.4984433290.

Adding to 10007657 its reverse (75670001), we get a palindrome (85677658).

The spelling of 10007657 in words is "ten million, seven thousand, six hundred fifty-seven".