828345961 has 9 divisors (see below), whose sum is σ = 880458501. Its totient is φ = 779159232.

The previous prime is 828345929. The next prime is 828346033. The reversal of 828345961 is 169543828.

The square root of 828345961 is 28781.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25190361 + 803155600 = 5019^2 + 28340^2 .

It is not a de Polignac number, because 828345961 - 2⁵ = 828345929 is a prime.

It is a super-2 number, since 2×828345961² = 1372314062210027042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828345361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 488431 + ... + 490123.

Almost surely, 2^828345961 is an apocalyptic number.

828345961 is the 28781-st square number.

828345961 is the 14391-st centered octagonal number.

It is an amenable number.

828345961 is a deficient number, since it is larger than the sum of its proper divisors (52112540).

828345961 is an frugal number, since it uses more digits than its factorization.

828345961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 1710 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The cubic root of 828345961 is about 939.1549524016.

The spelling of 828345961 in words is "eight hundred twenty-eight million, three hundred forty-five thousand, nine hundred sixty-one".