10420829 has 2 divisors, whose sum is σ = 10420830. Its totient is φ = 10420828.

The previous prime is 10420801. The next prime is 10420901. The reversal of 10420829 is 92802401.

10420829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8543929 + 1876900 = 2923^2 + 1370^2 .

It is a cyclic number.

It is not a de Polignac number, because 10420829 - 2⁸ = 10420573 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10420798 and 10420807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10420129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5210414 + 5210415.

It is an arithmetic number, because the mean of its divisors is an integer number (5210415).

Almost surely, 2^10420829 is an apocalyptic number.

It is an amenable number.

10420829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10420829 is an equidigital number, since it uses as much as digits as its factorization.

10420829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10420829 is about 3228.1308833441. The cubic root of 10420829 is about 218.4242013751.

The spelling of 10420829 in words is "ten million, four hundred twenty thousand, eight hundred twenty-nine".