829162101 has 8 divisors (see below), whose sum is σ = 1105925184. Its totient is φ = 552586880.

The previous prime is 829162099. The next prime is 829162127. The reversal of 829162101 is 101261928.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829162101 - 2¹ = 829162099 is a prime.

It is a super-3 number, since 3×829162101³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829162141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36321 + ... + 54566.

It is an arithmetic number, because the mean of its divisors is an integer number (138240648).

Almost surely, 2^829162101 is an apocalyptic number.

It is an amenable number.

829162101 is a deficient number, since it is larger than the sum of its proper divisors (276763083).

829162101 is a wasteful number, since it uses less digits than its factorization.

829162101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93931.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 829162101 is about 28795.1749603992. The cubic root of 829162101 is about 939.4632898867.

The spelling of 829162101 in words is "eight hundred twenty-nine million, one hundred sixty-two thousand, one hundred one".