82045729 has 2 divisors, whose sum is σ = 82045730. Its totient is φ = 82045728.

The previous prime is 82045703. The next prime is 82045739. The reversal of 82045729 is 92754028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68095504 + 13950225 = 8252^2 + 3735^2 .

It is a cyclic number.

It is not a de Polignac number, because 82045729 - 2¹³ = 82037537 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82045739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41022864 + 41022865.

It is an arithmetic number, because the mean of its divisors is an integer number (41022865).

Almost surely, 2^82045729 is an apocalyptic number.

It is an amenable number.

82045729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82045729 is an equidigital number, since it uses as much as digits as its factorization.

82045729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 82045729 is about 9057.9097478392. The cubic root of 82045729 is about 434.5288932414.

The spelling of 82045729 in words is "eighty-two million, forty-five thousand, seven hundred twenty-nine".