82563325 has 12 divisors (see below), whose sum is σ = 110254228. Its totient is φ = 60969600.

The previous prime is 82563301. The next prime is 82563329. The reversal of 82563325 is 52336528.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 171396 + 82391929 = 414^2 + 9077^2 .

It is not a de Polignac number, because 82563325 - 2⁵ = 82563293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82563329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 126696 + ... + 127345.

Almost surely, 2^82563325 is an apocalyptic number.

It is an amenable number.

82563325 is a deficient number, since it is larger than the sum of its proper divisors (27690903).

82563325 is a wasteful number, since it uses less digits than its factorization.

82563325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254064 (or 254059 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 82563325 is about 9086.4363201422. The cubic root of 82563325 is about 435.4407388333.

The spelling of 82563325 in words is "eighty-two million, five hundred sixty-three thousand, three hundred twenty-five".