36865 has 8 divisors (see below), whose sum is σ = 45288. Its totient is φ = 28800.

The previous prime is 36857. The next prime is 36871. The reversal of 36865 is 56863.

It is a Cunningham number, because it is equal to 192^{2}+1.

36865 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 23409 = 116^2 + 153^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36865 - 2^{3} = 36857 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (5661).

It is a Proth number, since it is equal to 9 ⋅ 2^{12} + 1 and 9 < 2^{12}.

2^{36865} is an apocalyptic number.

It is an amenable number.

36865 is a deficient number, since it is larger than the sum of its proper divisors (8423).

36865 is a wasteful number, since it uses less digits than its factorization.

36865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 4320, while the sum is 28.

The square root of 36865 is about 192.0026041490. The cubic root of 36865 is about 33.2816421042.

The spelling of 36865 in words is "thirty-six thousand, eight hundred sixty-five".

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