10534829 has 2 divisors, whose sum is σ = 10534830. Its totient is φ = 10534828.

The previous prime is 10534819. The next prime is 10534837. The reversal of 10534829 is 92843501.

10534829 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., 7828804 + 2706025 = 2798^2 + 1645^2 .

It is an emirp because it is prime and its reverse (92843501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10534829 - 2⁴ = 10534813 is a prime.

It is a super-2 number, since 2×10534829² = 221965244118482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10534795 and 10534804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10534819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5267414 + 5267415.

It is an arithmetic number, because the mean of its divisors is an integer number (5267415).

Almost surely, 2^10534829 is an apocalyptic number.

It is an amenable number.

10534829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10534829 is an equidigital number, since it uses as much as digits as its factorization.

10534829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 10534829 is about 3245.7401313106. The cubic root of 10534829 is about 219.2178076734.

The spelling of 10534829 in words is "ten million, five hundred thirty-four thousand, eight hundred twenty-nine".