82733625 has 48 divisors (see below), whose sum is σ = 160641936. Its totient is φ = 40723200.

The previous prime is 82733603. The next prime is 82733627. The reversal of 82733625 is 52633728.

82733625 is a `hidden beast` number, since 8 + 27 + 3 + 3 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61027344 + 21706281 = 7812^2 + 4659^2 .

It is not a de Polignac number, because 82733625 - 2⁵ = 82733593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82733625.

It is not an unprimeable number, because it can be changed into a prime (82733627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11797 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (3346707).

Almost surely, 2^82733625 is an apocalyptic number.

It is an amenable number.

82733625 is a deficient number, since it is larger than the sum of its proper divisors (77908311).

82733625 is a wasteful number, since it uses less digits than its factorization.

82733625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5678 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 82733625 is about 9095.8026033990. The cubic root of 82733625 is about 435.7399218353.

The spelling of 82733625 in words is "eighty-two million, seven hundred thirty-three thousand, six hundred twenty-five".