829812061 has 64 divisors (see below), whose sum is σ = 1041868800. Its totient is φ = 653184000.

The previous prime is 829812029. The next prime is 829812083. The reversal of 829812061 is 160218928.

It is a 5-Lehmer number, since φ(829812061) divides (829812061-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 829812061 - 2⁵ = 829812029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_829812060.

It is a self number, because there is not a number n which added to its sum of digits gives 829812061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829812001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8215911 + ... + 8216011.

It is an arithmetic number, because the mean of its divisors is an integer number (16279200).

Almost surely, 2^829812061 is an apocalyptic number.

It is an amenable number.

829812061 is a deficient number, since it is larger than the sum of its proper divisors (212056739).

829812061 is a wasteful number, since it uses less digits than its factorization.

829812061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 829812061 is about 28806.4586681529. The cubic root of 829812061 is about 939.7086999138.

The spelling of 829812061 in words is "eight hundred twenty-nine million, eight hundred twelve thousand, sixty-one".