829036849 has 3 divisors (see below), whose sum is σ = 829065643. Its totient is φ = 829008056.

The previous prime is 829036847. The next prime is 829036853. The reversal of 829036849 is 948630928.

The square root of 829036849 is 28793.

It is a perfect power (a square), and thus also a powerful number.

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 only one way, i.e., 225450225 + 603586624 = 15015^2 + 24568^2 .

It is not a de Polignac number, because 829036849 - 2¹ = 829036847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829036847) 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 2 ways as a sum of consecutive naturals, for example, 14397 + ... + 43189.

Almost surely, 2^829036849 is an apocalyptic number.

829036849 is the 28793-rd square number.

829036849 is the 14397-th centered octagonal number.

It is an amenable number.

829036849 is a deficient number, since it is larger than the sum of its proper divisors (28794).

829036849 is an frugal number, since it uses more digits than its factorization.

829036849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57586 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 829036849 is about 939.4159828598.

Multiplying 829036849 by its sum of digits (49), we get a square (40622805601 = 201551²).

Multiplying 829036849 by its product of nonzero digits (746496), we get a square (618872691631104 = 24877152²).

The spelling of 829036849 in words is "eight hundred twenty-nine million, thirty-six thousand, eight hundred forty-nine".