83432729 has 2 divisors, whose sum is σ = 83432730. Its totient is φ = 83432728.

The previous prime is 83432711. The next prime is 83432747. The reversal of 83432729 is 92723438.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (83432711) and next prime (83432747).

It can be written as a sum of positive squares in only one way, i.e., 48622729 + 34810000 = 6973^2 + 5900^2 .

It is a cyclic number.

It is not a de Polignac number, because 83432729 - 2²⁴ = 66655513 is a prime.

It is a super-2 number, since 2×83432729² = 13922040536774882, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 83432692 and 83432701.

It is not a weakly prime, because it can be changed into another prime (83432779) 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, 41716364 + 41716365.

It is an arithmetic number, because the mean of its divisors is an integer number (41716365).

Almost surely, 2^83432729 is an apocalyptic number.

It is an amenable number.

83432729 is a deficient number, since it is larger than the sum of its proper divisors (1).

83432729 is an equidigital number, since it uses as much as digits as its factorization.

83432729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 38.

The square root of 83432729 is about 9134.1517942281. The cubic root of 83432729 is about 436.9638235949.

The spelling of 83432729 in words is "eighty-three million, four hundred thirty-two thousand, seven hundred twenty-nine".