829832601 has 16 divisors (see below), whose sum is σ = 1192072896. Its totient is φ = 510444096.

The previous prime is 829832599. The next prime is 829832603. The reversal of 829832601 is 106238928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (829832599) and next prime (829832603).

It is not a de Polignac number, because 829832601 - 2¹ = 829832599 is a prime.

It is a super-3 number, since 3×829832601³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 829832601.

It is not an unprimeable number, because it can be changed into a prime (829832603) 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 15 ways as a sum of consecutive naturals, for example, 163366 + ... + 168368.

It is an arithmetic number, because the mean of its divisors is an integer number (74504556).

Almost surely, 2^829832601 is an apocalyptic number.

It is an amenable number.

829832601 is a deficient number, since it is larger than the sum of its proper divisors (362240295).

829832601 is a wasteful number, since it uses less digits than its factorization.

829832601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 829832601 is about 28806.8151832166. The cubic root of 829832601 is about 939.7164532588.

The spelling of 829832601 in words is "eight hundred twenty-nine million, eight hundred thirty-two thousand, six hundred one".