829087201 has 2 divisors, whose sum is σ = 829087202. Its totient is φ = 829087200.

The previous prime is 829087163. The next prime is 829087213. The reversal of 829087201 is 102780928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 648211600 + 180875601 = 25460^2 + 13449^2 .

It is a cyclic number.

It is not a de Polignac number, because 829087201 - 2⁷ = 829087073 is a prime.

It is not a weakly prime, because it can be changed into another prime (829087001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414543600 + 414543601.

It is an arithmetic number, because the mean of its divisors is an integer number (414543601).

Almost surely, 2^829087201 is an apocalyptic number.

It is an amenable number.

829087201 is a deficient number, since it is larger than the sum of its proper divisors (1).

829087201 is an equidigital number, since it uses as much as digits as its factorization.

829087201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 829087201 is about 28793.8743659133. The cubic root of 829087201 is about 939.4350011202.

It can be divided in two parts, 82908 and 7201, that added together give a palindrome (90109).

The spelling of 829087201 in words is "eight hundred twenty-nine million, eighty-seven thousand, two hundred one".