82965321 has 24 divisors (see below), whose sum is σ = 127244520. Its totient is φ = 51910656.

The previous prime is 82965283. The next prime is 82965329. The reversal of 82965321 is 12356928.

It can be written as a sum of positive squares in 4 ways, for example, as 7952400 + 75012921 = 2820^2 + 8661^2 .

It is not a de Polignac number, because 82965321 - 2⁶ = 82965257 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82965329) 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, 86581 + ... + 87533.

It is an arithmetic number, because the mean of its divisors is an integer number (5301855).

Almost surely, 2^82965321 is an apocalyptic number.

It is an amenable number.

82965321 is a deficient number, since it is larger than the sum of its proper divisors (44279199).

82965321 is a wasteful number, since it uses less digits than its factorization.

82965321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1542 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 82965321 is about 9108.5301229123. The cubic root of 82965321 is about 436.1463067753.

The spelling of 82965321 in words is "eighty-two million, nine hundred sixty-five thousand, three hundred twenty-one".