829512001 has 4 divisors (see below), whose sum is σ = 829584004. Its totient is φ = 829440000.

The previous prime is 829511999. The next prime is 829512029. The reversal of 829512001 is 100215928.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 829382401 + 129600 = 28799^2 + 360^2 .

It is a 3-Lehmer number, since φ(829512001) divides (829512001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 829512001 - 2¹ = 829511999 is a prime.

It is a deceptive number, since it divides R_829512000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829512031) 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 3 ways as a sum of consecutive naturals, for example, 14400 + ... + 43201.

It is an arithmetic number, because the mean of its divisors is an integer number (207396001).

It is a Poulet number, since it divides 2^829512000-1.

Almost surely, 2^829512001 is an apocalyptic number.

829512001 is the 14401-st decagonal number.

It is an amenable number.

829512001 is a deficient number, since it is larger than the sum of its proper divisors (72003).

829512001 is a wasteful number, since it uses less digits than its factorization.

829512001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72002.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 829512001 is about 28801.2499902348. The cubic root of 829512001 is about 939.5954200523.

Adding to 829512001 its reverse (100215928), we get a palindrome (929727929).

The spelling of 829512001 in words is "eight hundred twenty-nine million, five hundred twelve thousand, one".