83645865 has 40 divisors (see below), whose sum is σ = 158776200. Its totient is φ = 41983488.

The previous prime is 83645857. The next prime is 83645867. The reversal of 83645865 is 56854638.

83645865 is a `hidden beast` number, since 8 + 3 + 64 + 586 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 40717161 = 6552^2 + 6381^2 .

It is not a de Polignac number, because 83645865 - 2³ = 83645857 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 83645865.

It is not an unprimeable number, because it can be changed into a prime (83645867) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 811 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (3969405).

Almost surely, 2^83645865 is an apocalyptic number.

83645865 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83645865 is a deficient number, since it is larger than the sum of its proper divisors (75130335).

83645865 is a wasteful number, since it uses less digits than its factorization.

83645865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12174 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 83645865 is about 9145.8113363441. The cubic root of 83645865 is about 437.3355942810.

The spelling of 83645865 in words is "eighty-three million, six hundred forty-five thousand, eight hundred sixty-five".