91829629 has 2 divisors, whose sum is σ = 91829630. Its totient is φ = 91829628.

The previous prime is 91829579. The next prime is 91829653. The reversal of 91829629 is 92692819.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77968900 + 13860729 = 8830^2 + 3723^2 .

It is an emirp because it is prime and its reverse (92692819) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91829629 - 2¹⁷ = 91698557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91829669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45914814 + 45914815.

It is an arithmetic number, because the mean of its divisors is an integer number (45914815).

Almost surely, 2^91829629 is an apocalyptic number.

It is an amenable number.

91829629 is a deficient number, since it is larger than the sum of its proper divisors (1).

91829629 is an equidigital number, since it uses as much as digits as its factorization.

91829629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 46.

The square root of 91829629 is about 9582.7777288216. Note that the first 4 decimals coincide. The cubic root of 91829629 is about 451.1569062850.

The spelling of 91829629 in words is "ninety-one million, eight hundred twenty-nine thousand, six hundred twenty-nine".