829812001 has 2 divisors, whose sum is σ = 829812002. Its totient is φ = 829812000.

The previous prime is 829811993. The next prime is 829812017. The reversal of 829812001 is 100218928.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 676052001 + 153760000 = 26001^2 + 12400^2 .

It is a cyclic number.

It is not a de Polignac number, because 829812001 - 2³ = 829811993 is a prime.

It is not a weakly prime, because it can be changed into another prime (829812091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414906000 + 414906001.

It is an arithmetic number, because the mean of its divisors is an integer number (414906001).

Almost surely, 2^829812001 is an apocalyptic number.

It is an amenable number.

829812001 is a deficient number, since it is larger than the sum of its proper divisors (1).

829812001 is an equidigital number, since it uses as much as digits as its factorization.

829812001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 829812001 is about 28806.4576267197. The cubic root of 829812001 is about 939.7086772651.

The spelling of 829812001 in words is "eight hundred twenty-nine million, eight hundred twelve thousand, one".