2085382729 has 2 divisors, whose sum is σ = 2085382730. Its totient is φ = 2085382728.

The previous prime is 2085382711. The next prime is 2085382769. The reversal of 2085382729 is 9272835802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1453363129 + 632019600 = 38123^2 + 25140^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085382729 - 2⁵ = 2085382697 is a prime.

It is a super-2 number, since 2×2085382729² = 8697642252822974882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2085382769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042691364 + 1042691365.

It is an arithmetic number, because the mean of its divisors is an integer number (1042691365).

Almost surely, 2^2085382729 is an apocalyptic number.

It is an amenable number.

2085382729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085382729 is an equidigital number, since it uses as much as digits as its factorization.

2085382729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 2085382729 is about 45665.9909451224. The cubic root of 2085382729 is about 1277.6010424022.

The spelling of 2085382729 in words is "two billion, eighty-five million, three hundred eighty-two thousand, seven hundred twenty-nine".