825909977 has 2 divisors, whose sum is σ = 825909978. Its totient is φ = 825909976.

The previous prime is 825909947. The next prime is 825910021. The reversal of 825909977 is 779909528.

825909977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 514881481 + 311028496 = 22691^2 + 17636^2 .

It is a cyclic number.

It is not a de Polignac number, because 825909977 - 2¹⁶ = 825844441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825909947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412954988 + 412954989.

It is an arithmetic number, because the mean of its divisors is an integer number (412954989).

Almost surely, 2^825909977 is an apocalyptic number.

It is an amenable number.

825909977 is a deficient number, since it is larger than the sum of its proper divisors (1).

825909977 is an equidigital number, since it uses as much as digits as its factorization.

825909977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 56.

The square root of 825909977 is about 28738.6495333375. The cubic root of 825909977 is about 938.2334321580.

The spelling of 825909977 in words is "eight hundred twenty-five million, nine hundred nine thousand, nine hundred seventy-seven".