829958481 has 63 divisors (see below), whose sum is σ = 1382023083. Its totient is φ = 497819520.

The previous prime is 829958461. The next prime is 829958483. The reversal of 829958481 is 184859928.

The square root of 829958481 is 28809.

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., 372683025 + 457275456 = 19305^2 + 21384^2 .

It is not a de Polignac number, because 829958481 - 2¹⁵ = 829925713 is a prime.

It is a super-2 number, since 2×829958481² = 1377662160367654722, 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 not an unprimeable number, because it can be changed into a prime (829958483) 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 62 ways as a sum of consecutive naturals, for example, 8556225 + ... + 8556321.

Almost surely, 2^829958481 is an apocalyptic number.

829958481 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

829958481 is the 28809-th square number.

829958481 is the 14405-th centered octagonal number.

It is an amenable number.

829958481 is a deficient number, since it is larger than the sum of its proper divisors (552064602).

829958481 is an frugal number, since it uses more digits than its factorization.

829958481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 111 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The cubic root of 829958481 is about 939.7639670690.

The spelling of 829958481 in words is "eight hundred twenty-nine million, nine hundred fifty-eight thousand, four hundred eighty-one".