10003657 has 2 divisors, whose sum is σ = 10003658. Its totient is φ = 10003656.

The previous prime is 10003639. The next prime is 10003673. The reversal of 10003657 is 75630001.

10003657 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., 7750656 + 2253001 = 2784^2 + 1501^2 .

It is an emirp because it is prime and its reverse (75630001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10003657 - 2⁷ = 10003529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001828 + 5001829.

It is an arithmetic number, because the mean of its divisors is an integer number (5001829).

Almost surely, 2^10003657 is an apocalyptic number.

It is an amenable number.

10003657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003657 is an equidigital number, since it uses as much as digits as its factorization.

10003657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10003657 is about 3162.8558297842. The cubic root of 10003657 is about 215.4697283613.

Adding to 10003657 its reverse (75630001), we get a palindrome (85633658).

The spelling of 10003657 in words is "ten million, three thousand, six hundred fifty-seven".