82505961 has 24 divisors (see below), whose sum is σ = 125817120. Its totient is φ = 51955776.

The previous prime is 82505909. The next prime is 82505963. The reversal of 82505961 is 16950528.

It is a happy number.

It is not a de Polignac number, because 82505961 - 2¹¹ = 82503913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82505963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95845 + ... + 96701.

It is an arithmetic number, because the mean of its divisors is an integer number (5242380).

Almost surely, 2^82505961 is an apocalyptic number.

It is an amenable number.

82505961 is a deficient number, since it is larger than the sum of its proper divisors (43311159).

82505961 is a wasteful number, since it uses less digits than its factorization.

82505961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 82505961 is about 9083.2791986154. The cubic root of 82505961 is about 435.3398691484.

The spelling of 82505961 in words is "eighty-two million, five hundred five thousand, nine hundred sixty-one".