83008729 has 2 divisors, whose sum is σ = 83008730. Its totient is φ = 83008728.

The previous prime is 83008661. The next prime is 83008753. The reversal of 83008729 is 92780038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64320400 + 18688329 = 8020^2 + 4323^2 .

It is a cyclic number.

It is not a de Polignac number, because 83008729 - 2²¹ = 80911577 is a prime.

It is not a weakly prime, because it can be changed into another prime (83008789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41504364 + 41504365.

It is an arithmetic number, because the mean of its divisors is an integer number (41504365).

Almost surely, 2^83008729 is an apocalyptic number.

It is an amenable number.

83008729 is a deficient number, since it is larger than the sum of its proper divisors (1).

83008729 is an equidigital number, since it uses as much as digits as its factorization.

83008729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 83008729 is about 9110.9126326620. The cubic root of 83008729 is about 436.2223583825. Note that the first 3 decimals are identical.

It can be divided in two parts, 830087 and 29, that added together give a triangular number (830116 = T₁₂₈₈).

The spelling of 83008729 in words is "eighty-three million, eight thousand, seven hundred twenty-nine".