82967085 has 20 divisors (see below), whose sum is σ = 148726908. Its totient is φ = 44248896.

The previous prime is 82967083. The next prime is 82967113. The reversal of 82967085 is 58076928.

It can be written as a sum of positive squares in 2 ways, for example, as 17065161 + 65901924 = 4131^2 + 8118^2 .

It is not a de Polignac number, because 82967085 - 2¹ = 82967083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82967085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82967083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102024 + ... + 102833.

Almost surely, 2^82967085 is an apocalyptic number.

It is an amenable number.

82967085 is a deficient number, since it is larger than the sum of its proper divisors (65759823).

82967085 is a wasteful number, since it uses less digits than its factorization.

82967085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204874 (or 204865 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82967085 is about 9108.6269547062. The cubic root of 82967085 is about 436.1493978524.

The spelling of 82967085 in words is "eighty-two million, nine hundred sixty-seven thousand, eighty-five".