37363 has 2 divisors, whose sum is σ = 37364. Its totient is φ = 37362.

The previous prime is 37361. The next prime is 37369. The reversal of 37363 is 36373.

It is a weak prime.

It is an emirp because it is prime and its reverse (36373) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37363 - 2¹ = 37361 is a prime.

Together with 37361, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18681 + 18682.

It is an arithmetic number, because the mean of its divisors is an integer number (18682).

2³⁷³⁶³ is an apocalyptic number.

37363 is a deficient number, since it is larger than the sum of its proper divisors (1).

37363 is an equidigital number, since it uses as much as digits as its factorization.

37363 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 22.

The square root of 37363 is about 193.2951111643. The cubic root of 37363 is about 33.4308367367.

Subtracting from 37363 its reverse (36373), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 37 and 363, that multiplied together give a palindrome (13431).

The spelling of 37363 in words is "thirty-seven thousand, three hundred sixty-three".