10421689 has 2 divisors, whose sum is σ = 10421690. Its totient is φ = 10421688.

The previous prime is 10421687. The next prime is 10421707. The reversal of 10421689 is 98612401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5978025 + 4443664 = 2445^2 + 2108^2 .

It is an emirp because it is prime and its reverse (98612401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10421689 - 2¹ = 10421687 is a prime.

It is a super-2 number, since 2×10421689² = 217223203225442, which contains 22 as substring.

Together with 10421687, it forms a pair of twin primes.

It is equal to p₆₉₀₇₃₆ and since 10421689 and 690736 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10421689.

It is not a weakly prime, because it can be changed into another prime (10421683) 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, 5210844 + 5210845.

It is an arithmetic number, because the mean of its divisors is an integer number (5210845).

Almost surely, 2^10421689 is an apocalyptic number.

It is an amenable number.

10421689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10421689 is an equidigital number, since it uses as much as digits as its factorization.

10421689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10421689 is about 3228.2640846127. The cubic root of 10421689 is about 218.4302098429.

The spelling of 10421689 in words is "ten million, four hundred twenty-one thousand, six hundred eighty-nine".