1000082829 has 4 divisors (see below), whose sum is σ = 1333443776. Its totient is φ = 666721884.

The previous prime is 1000082813. The next prime is 1000082857. The reversal of 1000082829 is 9282800001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 1000082829 - 2⁴ = 1000082813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000082796 and 1000082805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000082869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166680469 + ... + 166680474.

It is an arithmetic number, because the mean of its divisors is an integer number (333360944).

Almost surely, 2^1000082829 is an apocalyptic number.

It is an amenable number.

1000082829 is a deficient number, since it is larger than the sum of its proper divisors (333360947).

1000082829 is an equidigital number, since it uses as much as digits as its factorization.

1000082829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333360946.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1000082829 is about 31624.0862160474. The cubic root of 1000082829 is about 1000.0276089044.

It can be divided in two parts, 10000 and 82829, that added together give a palindrome (92829).

The spelling of 1000082829 in words is "one billion, eighty-two thousand, eight hundred twenty-nine".