82719025 has 27 divisors (see below), whose sum is σ = 109987969. Its totient is φ = 61700480.

The previous prime is 82719019. The next prime is 82719029. The reversal of 82719025 is 52091728.

The square root of 82719025 is 9095.

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 1934881 + 80784144 = 1391^2 + 8988^2 .

It is not a de Polignac number, because 82719025 - 2⁷ = 82718897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82719029) 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 26 ways as a sum of consecutive naturals, for example, 773022 + ... + 773128.

Almost surely, 2^82719025 is an apocalyptic number.

82719025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82719025 is the 9095-th square number.

82719025 is the 4548-th centered octagonal number.

It is an amenable number.

82719025 is a deficient number, since it is larger than the sum of its proper divisors (27268944).

82719025 is a wasteful number, since it uses less digits than its factorization.

82719025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 82719025 is about 435.7142886577.

The spelling of 82719025 in words is "eighty-two million, seven hundred nineteen thousand, twenty-five".