829146681 has 48 divisors (see below), whose sum is σ = 1401416640. Its totient is φ = 467026560.

The previous prime is 829146671. The next prime is 829146691. The reversal of 829146681 is 186641928.

It is an interprime number because it is at equal distance from previous prime (829146671) and next prime (829146691).

It is not a de Polignac number, because 829146681 - 2⁹ = 829146169 is a prime.

It is a super-2 number, since 2×829146681² = 1374968437226631522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (829146631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95535 + ... + 103851.

It is an arithmetic number, because the mean of its divisors is an integer number (29196180).

Almost surely, 2^829146681 is an apocalyptic number.

It is an amenable number.

829146681 is a deficient number, since it is larger than the sum of its proper divisors (572269959).

829146681 is a wasteful number, since it uses less digits than its factorization.

829146681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8403 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 829146681 is about 28794.9072059627. The cubic root of 829146681 is about 939.4574660904.

The spelling of 829146681 in words is "eight hundred twenty-nine million, one hundred forty-six thousand, six hundred eighty-one".