61636829 has 2 divisors, whose sum is σ = 61636830. Its totient is φ = 61636828.

The previous prime is 61636819. The next prime is 61636831. The reversal of 61636829 is 92863616.

61636829 is digitally balanced in base 2, 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., 60871204 + 765625 = 7802^2 + 875^2 .

It is a cyclic number.

It is not a de Polignac number, because 61636829 - 2²⁴ = 44859613 is a prime.

Together with 61636831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61636819) 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, 30818414 + 30818415.

It is an arithmetic number, because the mean of its divisors is an integer number (30818415).

Almost surely, 2^61636829 is an apocalyptic number.

It is an amenable number.

61636829 is a deficient number, since it is larger than the sum of its proper divisors (1).

61636829 is an equidigital number, since it uses as much as digits as its factorization.

61636829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 41.

The square root of 61636829 is about 7850.9126221096. The cubic root of 61636829 is about 395.0148560347.

The spelling of 61636829 in words is "sixty-one million, six hundred thirty-six thousand, eight hundred twenty-nine".