820825949 has 2 divisors, whose sum is σ = 820825950. Its totient is φ = 820825948.

The previous prime is 820825933. The next prime is 820825963. The reversal of 820825949 is 949528028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818989924 + 1836025 = 28618^2 + 1355^2 .

It is a cyclic number.

It is not a de Polignac number, because 820825949 - 2⁴ = 820825933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820825919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410412974 + 410412975.

It is an arithmetic number, because the mean of its divisors is an integer number (410412975).

Almost surely, 2^820825949 is an apocalyptic number.

It is an amenable number.

820825949 is a deficient number, since it is larger than the sum of its proper divisors (1).

820825949 is an equidigital number, since it uses as much as digits as its factorization.

820825949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 820825949 is about 28650.0601919088. The cubic root of 820825949 is about 936.3043170787.

The spelling of 820825949 in words is "eight hundred twenty million, eight hundred twenty-five thousand, nine hundred forty-nine".