10400417 has 2 divisors, whose sum is σ = 10400418. Its totient is φ = 10400416.

The previous prime is 10400399. The next prime is 10400431. The reversal of 10400417 is 71400401.

10400417 is digitally balanced in base 2 and base 3, because in such bases 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., 10394176 + 6241 = 3224^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400417 - 2⁸ = 10400161 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400395 and 10400404.

It is not a weakly prime, because it can be changed into another prime (10400917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200208 + 5200209.

It is an arithmetic number, because the mean of its divisors is an integer number (5200209).

Almost surely, 2^10400417 is an apocalyptic number.

It is an amenable number.

10400417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400417 is an equidigital number, since it uses as much as digits as its factorization.

10400417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 10400417 is about 3224.9677517768. The cubic root of 10400417 is about 218.2814939504.

Adding to 10400417 its reverse (71400401), we get a palindrome (81800818).

The spelling of 10400417 in words is "ten million, four hundred thousand, four hundred seventeen".