82562729 has 2 divisors, whose sum is σ = 82562730. Its totient is φ = 82562728.

The previous prime is 82562717. The next prime is 82562737. The reversal of 82562729 is 92726528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45535504 + 37027225 = 6748^2 + 6085^2 .

It is a cyclic number.

It is not a de Polignac number, because 82562729 - 2⁴ = 82562713 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82562749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41281364 + 41281365.

It is an arithmetic number, because the mean of its divisors is an integer number (41281365).

Almost surely, 2^82562729 is an apocalyptic number.

It is an amenable number.

82562729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82562729 is an equidigital number, since it uses as much as digits as its factorization.

82562729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 41.

The square root of 82562729 is about 9086.4035239472. The cubic root of 82562729 is about 435.4396910585.

The spelling of 82562729 in words is "eighty-two million, five hundred sixty-two thousand, seven hundred twenty-nine".