820604025 has 72 divisors (see below), whose sum is σ = 1582213464. Its totient is φ = 405043200.

The previous prime is 820604017. The next prime is 820604041. The reversal of 820604025 is 520406028.

It can be written as a sum of positive squares in 12 ways, for example, as 123010281 + 697593744 = 11091^2 + 26412^2 .

It is not a de Polignac number, because 820604025 - 2³ = 820604017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820604025.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231567 + ... + 235083.

It is an arithmetic number, because the mean of its divisors is an integer number (21975187).

Almost surely, 2^820604025 is an apocalyptic number.

820604025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820604025 is a deficient number, since it is larger than the sum of its proper divisors (761609439).

820604025 is a wasteful number, since it uses less digits than its factorization.

820604025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 820604025 is about 28646.1869190299. The cubic root of 820604025 is about 936.2199276379.

The spelling of 820604025 in words is "eight hundred twenty million, six hundred four thousand, twenty-five".