8027829 has 10 divisors (see below), whose sum is σ = 11992310. Its totient is φ = 5351832.

The previous prime is 8027827. The next prime is 8027837. The reversal of 8027829 is 9287208.

It can be written as a sum of positive squares in only one way, i.e., 7535025 + 492804 = 2745^2 + 702^2 .

It is not a de Polignac number, because 8027829 - 2¹ = 8027827 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8027793 and 8027802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8027821) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49474 + ... + 49635.

It is an arithmetic number, because the mean of its divisors is an integer number (1199231).

Almost surely, 2^8027829 is an apocalyptic number.

It is an amenable number.

8027829 is a deficient number, since it is larger than the sum of its proper divisors (3964481).

8027829 is an equidigital number, since it uses as much as digits as its factorization.

8027829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99121 (or 99112 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8027829 is about 2833.3423725346. The cubic root of 8027829 is about 200.2316399444.

The spelling of 8027829 in words is "eight million, twenty-seven thousand, eight hundred twenty-nine".