37123 has 2 divisors, whose sum is σ = 37124. Its totient is φ = 37122.

The previous prime is 37117. The next prime is 37139. The reversal of 37123 is 32173.

It is an a-pointer prime, because the next prime (37139) can be obtained adding 37123 to its sum of digits (16).

It is a weak prime.

It is an emirp because it is prime and its reverse (32173) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37097 and 37106.

It is not a weakly prime, because it can be changed into another prime (37223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18561 + 18562.

It is an arithmetic number, because the mean of its divisors is an integer number (18562).

2³⁷¹²³ is an apocalyptic number.

37123 is a deficient number, since it is larger than the sum of its proper divisors (1).

37123 is an equidigital number, since it uses as much as digits as its factorization.

37123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 37123 is about 192.6732986171. The cubic root of 37123 is about 33.3591022959.

Adding to 37123 its product of digits (126), we get a square (37249 = 193²).

Adding to 37123 its reverse (32173), we get a palindrome (69296).

Subtracting from 37123 its reverse (32173), we obtain a triangular number (4950 = T₉₉).

The spelling of 37123 in words is "thirty-seven thousand, one hundred twenty-three".