36893 has 4 divisors (see below), whose sum is σ = 37440. Its totient is φ = 36348.

The previous prime is 36887. The next prime is 36899. The reversal of 36893 is 39863.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (36887) and next prime (36899).

It is a cyclic number.

It is not a de Polignac number, because 36893 - 2^{4} = 36877 is a prime.

It is a super-2 number, since 2×36893^{2} = 2722186898, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 9 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2^{36893} is an apocalyptic number.

It is an amenable number.

36893 is a deficient number, since it is larger than the sum of its proper divisors (547).

36893 is an equidigital number, since it uses as much as digits as its factorization.

36893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546.

The product of its digits is 3888, while the sum is 29.

The square root of 36893 is about 192.0755059866. The cubic root of 36893 is about 33.2900660849.

Subtracting from 36893 its sum of digits (29), we obtain a square (36864 = 192^{2}).

It can be divided in two parts, 36 and 893, that added together give a palindrome (929).

The spelling of 36893 in words is "thirty-six thousand, eight hundred ninety-three".

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