10040057 has 2 divisors, whose sum is σ = 10040058. Its totient is φ = 10040056.

The previous prime is 10040011. The next prime is 10040059. The reversal of 10040057 is 75004001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5812921 + 4227136 = 2411^2 + 2056^2 .

It is a cyclic number.

It is not a de Polignac number, because 10040057 - 2⁸ = 10039801 is a prime.

Together with 10040059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10040059) 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, 5020028 + 5020029.

It is an arithmetic number, because the mean of its divisors is an integer number (5020029).

Almost surely, 2^10040057 is an apocalyptic number.

It is an amenable number.

10040057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10040057 is an equidigital number, since it uses as much as digits as its factorization.

10040057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10040057 is about 3168.6048980584. The cubic root of 10040057 is about 215.7307530540.

Adding to 10040057 its reverse (75004001), we get a palindrome (85044058).

The spelling of 10040057 in words is "ten million, forty thousand, fifty-seven".