82394832025 has 81 divisors (see below), whose sum is σ = 119686562877. Its totient is φ = 56214892800.

The previous prime is 82394832007. The next prime is 82394832067. The reversal of 82394832025 is 52023849328.

It is a happy number.

The square root of 82394832025 is 287045.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1927297801 + 80467534224 = 43901^2 + 283668^2 .

It is not a de Polignac number, because 82394832025 - 2¹¹ = 82394829977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 268386922 + ... + 268387228.

Almost surely, 2^82394832025 is an apocalyptic number.

82394832025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82394832025 is the 287045-th square number.

82394832025 is the 143523-rd centered octagonal number.

It is an amenable number.

82394832025 is a deficient number, since it is larger than the sum of its proper divisors (37291730852).

82394832025 is a wasteful number, since it uses less digits than its factorization.

82394832025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

It can be divided in two parts, 82394 and 832025, that added together give a palindrome (914419).

The spelling of 82394832025 in words is "eighty-two billion, three hundred ninety-four million, eight hundred thirty-two thousand, twenty-five".