828024137 has 2 divisors, whose sum is σ = 828024138. Its totient is φ = 828024136.

The previous prime is 828024121. The next prime is 828024143. The reversal of 828024137 is 731420828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586656841 + 241367296 = 24221^2 + 15536^2 .

It is a cyclic number.

It is not a de Polignac number, because 828024137 - 2⁴ = 828024121 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 828024097 and 828024106.

It is not a weakly prime, because it can be changed into another prime (828024937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414012068 + 414012069.

It is an arithmetic number, because the mean of its divisors is an integer number (414012069).

Almost surely, 2^828024137 is an apocalyptic number.

It is an amenable number.

828024137 is a deficient number, since it is larger than the sum of its proper divisors (1).

828024137 is an equidigital number, since it uses as much as digits as its factorization.

828024137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 828024137 is about 28775.4085461875. The cubic root of 828024137 is about 939.0333116991.

The spelling of 828024137 in words is "eight hundred twenty-eight million, twenty-four thousand, one hundred thirty-seven".