10400057 has 2 divisors, whose sum is σ = 10400058. Its totient is φ = 10400056.

The previous prime is 10400029. The next prime is 10400059. The reversal of 10400057 is 75000401.

It is a happy number.

10400057 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., 8271376 + 2128681 = 2876^2 + 1459^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400057 - 2⁶ = 10399993 is a prime.

It is a super-2 number, since 2×10400057² = 216322371206498, which contains 22 as substring.

Together with 10400059, 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 (10400059) 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, 5200028 + 5200029.

It is an arithmetic number, because the mean of its divisors is an integer number (5200029).

Almost surely, 2^10400057 is an apocalyptic number.

It is an amenable number.

10400057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400057 is an equidigital number, since it uses as much as digits as its factorization.

10400057 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 10400057 is about 3224.9119367822. The cubic root of 10400057 is about 218.2789753897.

Adding to 10400057 its reverse (75000401), we get a palindrome (85400458).

The spelling of 10400057 in words is "ten million, four hundred thousand, fifty-seven".