829241166 has 64 divisors (see below), whose sum is σ = 1820786688. Its totient is φ = 250242048.

The previous prime is 829241141. The next prime is 829241191. The reversal of 829241166 is 661142928.

It is an interprime number because it is at equal distance from previous prime (829241141) and next prime (829241191).

It is a super-2 number, since 2×829241166² = 1375281822778079112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 960451 + ... + 961313.

It is an arithmetic number, because the mean of its divisors is an integer number (28449792).

Almost surely, 2^829241166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829241166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910393344).

829241166 is an abundant number, since it is smaller than the sum of its proper divisors (991545522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829241166 is a wasteful number, since it uses less digits than its factorization.

829241166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105.

The product of its digits is 41472, while the sum is 39.

The square root of 829241166 is about 28796.5478139308. The cubic root of 829241166 is about 939.4931498719.

The spelling of 829241166 in words is "eight hundred twenty-nine million, two hundred forty-one thousand, one hundred sixty-six".