7828129 has 2 divisors, whose sum is σ = 7828130. Its totient is φ = 7828128.

The previous prime is 7828123. The next prime is 7828141. The reversal of 7828129 is 9218287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7102225 + 725904 = 2665^2 + 852^2 .

It is a cyclic number.

It is not a de Polignac number, because 7828129 - 2¹⁷ = 7697057 is a prime.

It is a super-2 number, since 2×7828129² = 122559207281282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7828123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3914064 + 3914065.

It is an arithmetic number, because the mean of its divisors is an integer number (3914065).

Almost surely, 2^7828129 is an apocalyptic number.

It is an amenable number.

7828129 is a deficient number, since it is larger than the sum of its proper divisors (1).

7828129 is an equidigital number, since it uses as much as digits as its factorization.

7828129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 37.

The square root of 7828129 is about 2797.8793755271. The cubic root of 7828129 is about 198.5573606454.

It can be divided in two parts, 782 and 8129, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 7828129 in words is "seven million, eight hundred twenty-eight thousand, one hundred twenty-nine".