82252625 has 48 divisors (see below), whose sum is σ = 128720592. Its totient is φ = 52012800.

The previous prime is 82252609. The next prime is 82252627. The reversal of 82252625 is 52625228.

It can be written as a sum of positive squares in 8 ways, for example, as 19018321 + 63234304 = 4361^2 + 7952^2 .

It is not a de Polignac number, because 82252625 - 2⁴ = 82252609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82252591 and 82252600.

It is not an unprimeable number, because it can be changed into a prime (82252627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79109 + ... + 80141.

It is an arithmetic number, because the mean of its divisors is an integer number (2681679).

Almost surely, 2^82252625 is an apocalyptic number.

It is an amenable number.

82252625 is a deficient number, since it is larger than the sum of its proper divisors (46467967).

82252625 is a wasteful number, since it uses less digits than its factorization.

82252625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1058 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 82252625 is about 9069.3232933885. The cubic root of 82252625 is about 434.8938394218.

The spelling of 82252625 in words is "eighty-two million, two hundred fifty-two thousand, six hundred twenty-five".