83600825 has 48 divisors (see below), whose sum is σ = 130598784. Its totient is φ = 51571200.

The previous prime is 83600819. The next prime is 83600833. The reversal of 83600825 is 52800638.

It is not a de Polignac number, because 83600825 - 2¹² = 83596729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83600791 and 83600800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263567 + ... + 263883.

It is an arithmetic number, because the mean of its divisors is an integer number (2720808).

Almost surely, 2^83600825 is an apocalyptic number.

It is an amenable number.

83600825 is a deficient number, since it is larger than the sum of its proper divisors (46997959).

83600825 is a wasteful number, since it uses less digits than its factorization.

83600825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 83600825 is about 9143.3486754033. The cubic root of 83600825 is about 437.2570841970.

The spelling of 83600825 in words is "eighty-three million, six hundred thousand, eight hundred twenty-five".