82610561 has 8 divisors (see below), whose sum is σ = 91648800. Its totient is φ = 73827040.

The previous prime is 82610551. The next prime is 82610569. The reversal of 82610561 is 16501628.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82610561 - 2¹⁸ = 82348417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82610569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62996 + ... + 64293.

It is an arithmetic number, because the mean of its divisors is an integer number (11456100).

Almost surely, 2^82610561 is an apocalyptic number.

It is an amenable number.

82610561 is a deficient number, since it is larger than the sum of its proper divisors (9038239).

82610561 is a wasteful number, since it uses less digits than its factorization.

82610561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127359.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 82610561 is about 9089.0352073254. The cubic root of 82610561 is about 435.5237642260.

The spelling of 82610561 in words is "eighty-two million, six hundred ten thousand, five hundred sixty-one".