829492101 has 24 divisors (see below), whose sum is σ = 1335409920. Its totient is φ = 493070976.

The previous prime is 829492099. The next prime is 829492129. The reversal of 829492101 is 101294928.

It is not a de Polignac number, because 829492101 - 2¹ = 829492099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829494101) 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 23 ways as a sum of consecutive naturals, for example, 139765 + ... + 145578.

It is an arithmetic number, because the mean of its divisors is an integer number (55642080).

Almost surely, 2^829492101 is an apocalyptic number.

It is an amenable number.

829492101 is a deficient number, since it is larger than the sum of its proper divisors (505917819).

829492101 is a wasteful number, since it uses less digits than its factorization.

829492101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285385 (or 285382 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 829492101 is about 28800.9045170460. The cubic root of 829492101 is about 939.5879063582.

The spelling of 829492101 in words is "eight hundred twenty-nine million, four hundred ninety-two thousand, one hundred one".