825926921 has 2 divisors, whose sum is σ = 825926922. Its totient is φ = 825926920.

The previous prime is 825926887. The next prime is 825926923. The reversal of 825926921 is 129629528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 605701321 + 220225600 = 24611^2 + 14840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825926921 is a prime.

Together with 825926923, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825926923) 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, 412963460 + 412963461.

It is an arithmetic number, because the mean of its divisors is an integer number (412963461).

Almost surely, 2^825926921 is an apocalyptic number.

It is an amenable number.

825926921 is a deficient number, since it is larger than the sum of its proper divisors (1).

825926921 is an equidigital number, since it uses as much as digits as its factorization.

825926921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 155520, while the sum is 44.

The square root of 825926921 is about 28738.9443264710. The cubic root of 825926921 is about 938.2398482400.

The spelling of 825926921 in words is "eight hundred twenty-five million, nine hundred twenty-six thousand, nine hundred twenty-one".