83826765 has 64 divisors (see below), whose sum is σ = 171187200. Its totient is φ = 38491200.

The previous prime is 83826739. The next prime is 83826781. The reversal of 83826765 is 56762838.

It is not a de Polignac number, because 83826765 - 2⁷ = 83826637 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83826765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26730 + ... + 29700.

It is an arithmetic number, because the mean of its divisors is an integer number (2674800).

Almost surely, 2^83826765 is an apocalyptic number.

It is an amenable number.

83826765 is an abundant number, since it is smaller than the sum of its proper divisors (87360435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83826765 is a wasteful number, since it uses less digits than its factorization.

83826765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3009 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 83826765 is about 9155.6957682090. The cubic root of 83826765 is about 437.6506409142.

The spelling of 83826765 in words is "eighty-three million, eight hundred twenty-six thousand, seven hundred sixty-five".