82115965 has 16 divisors (see below), whose sum is σ = 102423600. Its totient is φ = 63124992.

The previous prime is 82115963. The next prime is 82115983. The reversal of 82115965 is 56951128.

82115965 = 381² + 382² + ... + 670².

It can be written as a sum of positive squares in 8 ways, for example, as 8602489 + 73513476 = 2933^2 + 8574^2 .

It is a cyclic number.

It is not a de Polignac number, because 82115965 - 2¹ = 82115963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82115963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31969 + ... + 34441.

It is an arithmetic number, because the mean of its divisors is an integer number (6401475).

Almost surely, 2^82115965 is an apocalyptic number.

It is an amenable number.

82115965 is a deficient number, since it is larger than the sum of its proper divisors (20307635).

82115965 is a wasteful number, since it uses less digits than its factorization.

82115965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736.

The product of its digits is 21600, while the sum is 37.

The square root of 82115965 is about 9061.7859718711. The cubic root of 82115965 is about 434.6528520263.

The spelling of 82115965 in words is "eighty-two million, one hundred fifteen thousand, nine hundred sixty-five".