829160041 has 16 divisors (see below), whose sum is σ = 864829440. Its totient is φ = 794399760.

The previous prime is 829160027. The next prime is 829160077. The reversal of 829160041 is 140061928.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 829160041 - 2¹⁷ = 829028969 is a prime.

It is a super-2 number, since 2×829160041² = 1375012747182243362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829159985 and 829160012.

It is not an unprimeable number, because it can be changed into a prime (829160011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562936 + ... + 564406.

It is an arithmetic number, because the mean of its divisors is an integer number (54051840).

Almost surely, 2^829160041 is an apocalyptic number.

It is an amenable number.

829160041 is a deficient number, since it is larger than the sum of its proper divisors (35669399).

829160041 is a wasteful number, since it uses less digits than its factorization.

829160041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 829160041 is about 28795.1391904953. The cubic root of 829160041 is about 939.4625118740.

The spelling of 829160041 in words is "eight hundred twenty-nine million, one hundred sixty thousand, forty-one".