81829025 has 12 divisors (see below), whose sum is σ = 102402300. Its totient is φ = 64860480.

The previous prime is 81828977. The next prime is 81829037. The reversal of 81829025 is 52092818.

It can be written as a sum of positive squares in 6 ways, for example, as 6885376 + 74943649 = 2624^2 + 8657^2 .

It is not a de Polignac number, because 81829025 - 2⁶ = 81828961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12290 + ... + 17739.

It is an arithmetic number, because the mean of its divisors is an integer number (8533525).

Almost surely, 2^81829025 is an apocalyptic number.

It is an amenable number.

81829025 is a deficient number, since it is larger than the sum of its proper divisors (20573275).

81829025 is a wasteful number, since it uses less digits than its factorization.

81829025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30148 (or 30143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 81829025 is about 9045.9396969027. The cubic root of 81829025 is about 434.1459881783.

The spelling of 81829025 in words is "eighty-one million, eight hundred twenty-nine thousand, twenty-five".