822829225 has 9 divisors (see below), whose sum is σ = 1020486117. Its totient is φ = 658148640.

The previous prime is 822829213. The next prime is 822829237. The reversal of 822829225 is 522928228.

The square root of 822829225 is 28685.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (822829213) and next prime (822829237).

It can be written as a sum of positive squares in 4 ways, for example, as 451265049 + 371564176 = 21243^2 + 19276^2 .

It is not a de Polignac number, because 822829225 - 2⁷ = 822829097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140557 + ... + 146293.

Almost surely, 2^822829225 is an apocalyptic number.

822829225 is the 28685-th square number.

822829225 is the 14343-rd centered octagonal number.

It is an amenable number.

822829225 is a deficient number, since it is larger than the sum of its proper divisors (197656892).

822829225 is an frugal number, since it uses more digits than its factorization.

822829225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484 (or 5742 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The cubic root of 822829225 is about 937.0654009334.

The spelling of 822829225 in words is "eight hundred twenty-two million, eight hundred twenty-nine thousand, two hundred twenty-five".