829837381 has 2 divisors, whose sum is σ = 829837382. Its totient is φ = 829837380.

The previous prime is 829837373. The next prime is 829837387. The reversal of 829837381 is 183738928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825700225 + 4137156 = 28735^2 + 2034^2 .

It is a cyclic number.

It is not a de Polignac number, because 829837381 - 2³ = 829837373 is a prime.

It is a super-2 number, since 2×829837381² = 1377260157809878322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829837387) 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 as a sum of consecutive naturals, namely, 414918690 + 414918691.

It is an arithmetic number, because the mean of its divisors is an integer number (414918691).

Almost surely, 2^829837381 is an apocalyptic number.

It is an amenable number.

829837381 is a deficient number, since it is larger than the sum of its proper divisors (1).

829837381 is an equidigital number, since it uses as much as digits as its factorization.

829837381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608, while the sum is 49.

The square root of 829837381 is about 28806.8981495752. The cubic root of 829837381 is about 939.7182575729.

The spelling of 829837381 in words is "eight hundred twenty-nine million, eight hundred thirty-seven thousand, three hundred eighty-one".