829210413 has 16 divisors (see below), whose sum is σ = 1147607552. Its totient is φ = 532008000.

The previous prime is 829210399. The next prime is 829210423. The reversal of 829210413 is 314012928.

It is not a de Polignac number, because 829210413 - 2¹⁰ = 829209389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829210423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7798 + ... + 41463.

It is an arithmetic number, because the mean of its divisors is an integer number (71725472).

Almost surely, 2^829210413 is an apocalyptic number.

It is an amenable number.

829210413 is a deficient number, since it is larger than the sum of its proper divisors (318397139).

829210413 is a wasteful number, since it uses less digits than its factorization.

829210413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49476.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 829210413 is about 28796.0138387243. The cubic root of 829210413 is about 939.4815358039.

The spelling of 829210413 in words is "eight hundred twenty-nine million, two hundred ten thousand, four hundred thirteen".