36773 has 4 divisors (see below), whose sum is σ = 40128. Its totient is φ = 33420.

The previous prime is 36767. The next prime is 36779. The reversal of 36773 is 37763.

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, and also an emirpimes, since its reverse is a distinct semiprime: 37763 = 11 ⋅3433.

It is an interprime number because it is at equal distance from previous prime (36767) and next prime (36779).

It is a cyclic number.

It is not a de Polignac number, because 36773 - 2^{6} = 36709 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 36773.

It is not an unprimeable number, because it can be changed into a prime (36779) 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, 1661 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (10032).

2^{36773} is an apocalyptic number.

It is an amenable number.

36773 is a deficient number, since it is larger than the sum of its proper divisors (3355).

36773 is a wasteful number, since it uses less digits than its factorization.

36773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354.

The product of its digits is 2646, while the sum is 26.

The square root of 36773 is about 191.7628744048. The cubic root of 36773 is about 33.2539332412.

Subtracting 36773 from its reverse (37763), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 3 and 6773, that added together give a palindrome (6776).

The spelling of 36773 in words is "thirty-six thousand, seven hundred seventy-three".

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