10003957 has 2 divisors, whose sum is σ = 10003958. Its totient is φ = 10003956.

The previous prime is 10003951. The next prime is 10003999. The reversal of 10003957 is 75930001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6937956 + 3066001 = 2634^2 + 1751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003951) 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, 5001978 + 5001979.

It is an arithmetic number, because the mean of its divisors is an integer number (5001979).

Almost surely, 2^10003957 is an apocalyptic number.

It is an amenable number.

10003957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003957 is an equidigital number, since it uses as much as digits as its factorization.

10003957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 10003957 is about 3162.9032549226. The cubic root of 10003957 is about 215.4718822494.

Adding to 10003957 its reverse (75930001), we get a palindrome (85933958).

The spelling of 10003957 in words is "ten million, three thousand, nine hundred fifty-seven".