829366965 has 64 divisors (see below), whose sum is σ = 1694822400. Its totient is φ = 376944192.

The previous prime is 829366961. The next prime is 829366987. The reversal of 829366965 is 569663928.

It is not a de Polignac number, because 829366965 - 2² = 829366961 is a prime.

It is a super-2 number, since 2×829366965² = 1375699125266622450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829366961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166704 + ... + 171606.

It is an arithmetic number, because the mean of its divisors is an integer number (26481600).

Almost surely, 2^829366965 is an apocalyptic number.

It is an amenable number.

829366965 is an abundant number, since it is smaller than the sum of its proper divisors (865455435).

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

829366965 is a wasteful number, since it uses less digits than its factorization.

829366965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5097 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 829366965 is about 28798.7320033365. The cubic root of 829366965 is about 939.5406556831.

The spelling of 829366965 in words is "eight hundred twenty-nine million, three hundred sixty-six thousand, nine hundred sixty-five".