83212065 has 24 divisors (see below), whose sum is σ = 145978560. Its totient is φ = 43843104.

The previous prime is 83212037. The next prime is 83212069. The reversal of 83212065 is 56021238.

It is not a de Polignac number, because 83212065 - 2⁵ = 83212033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83212069) 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, 7405 + ... + 14874.

It is an arithmetic number, because the mean of its divisors is an integer number (6082440).

Almost surely, 2^83212065 is an apocalyptic number.

It is an amenable number.

83212065 is a deficient number, since it is larger than the sum of its proper divisors (62766495).

83212065 is a wasteful number, since it uses less digits than its factorization.

83212065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22373 (or 22370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83212065 is about 9122.0647333814. The cubic root of 83212065 is about 436.5782542159.

The spelling of 83212065 in words is "eighty-three million, two hundred twelve thousand, sixty-five".