829382401 has 9 divisors (see below), whose sum is σ = 857923203. Its totient is φ = 801764160.

The previous prime is 829382381. The next prime is 829382423. The reversal of 829382401 is 104283928.

The square root of 829382401 is 28799.

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

It can be written as a sum of positive squares in only one way, i.e., 15992001 + 813390400 = 3999^2 + 28520^2 .

It is not a de Polignac number, because 829382401 - 2¹¹ = 829380353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829382441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 892305 + ... + 893233.

Almost surely, 2^829382401 is an apocalyptic number.

829382401 is the 28799-th square number.

829382401 is the 14400-th centered octagonal number.

It is an amenable number.

829382401 is a deficient number, since it is larger than the sum of its proper divisors (28540802).

829382401 is an frugal number, since it uses more digits than its factorization.

829382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 829382401 is about 939.5464844900.

The spelling of 829382401 in words is "eight hundred twenty-nine million, three hundred eighty-two thousand, four hundred one".