82604825 has 12 divisors (see below), whose sum is σ = 102543660. Its totient is φ = 66010560.

The previous prime is 82604813. The next prime is 82604827. The reversal of 82604825 is 52840628.

It can be written as a sum of positive squares in 6 ways, for example, as 18412681 + 64192144 = 4291^2 + 8012^2 .

It is not a de Polignac number, because 82604825 - 2¹⁸ = 82342681 is a prime.

It is a super-2 number, since 2×82604825² = 13647114226561250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82604827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38891 + ... + 40959.

It is an arithmetic number, because the mean of its divisors is an integer number (8545305).

Almost surely, 2^82604825 is an apocalyptic number.

It is an amenable number.

82604825 is a deficient number, since it is larger than the sum of its proper divisors (19938835).

82604825 is a wasteful number, since it uses less digits than its factorization.

82604825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 82604825 is about 9088.7196568054. The cubic root of 82604825 is about 435.5136839082.

The spelling of 82604825 in words is "eighty-two million, six hundred four thousand, eight hundred twenty-five".