10634417 has 2 divisors, whose sum is σ = 10634418. Its totient is φ = 10634416.

The previous prime is 10634411. The next prime is 10634419. The reversal of 10634417 is 71443601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5973136 + 4661281 = 2444^2 + 2159^2 .

It is a cyclic number.

It is not a de Polignac number, because 10634417 - 2¹⁶ = 10568881 is a prime.

It is a super-2 number, since 2×10634417² = 226181649859778, which contains 22 as substring.

Together with 10634419, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₇₀₃₉₁₆ and since 10634417 and 703916 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10634411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317208 + 5317209.

It is an arithmetic number, because the mean of its divisors is an integer number (5317209).

Almost surely, 2^10634417 is an apocalyptic number.

It is an amenable number.

10634417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634417 is an equidigital number, since it uses as much as digits as its factorization.

10634417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10634417 is about 3261.0453845355. The cubic root of 10634417 is about 219.9064133625.

The spelling of 10634417 in words is "ten million, six hundred thirty-four thousand, four hundred seventeen".