37000121 has 2 divisors, whose sum is σ = 37000122. Its totient is φ = 37000120.

The previous prime is 37000097. The next prime is 37000129. The reversal of 37000121 is 12100073.

37000121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34058896 + 2941225 = 5836^2 + 1715^2 .

It is a cyclic number.

It is not a de Polignac number, because 37000121 - 2¹⁸ = 36737977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37000096 and 37000105.

It is not a weakly prime, because it can be changed into another prime (37000129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18500060 + 18500061.

It is an arithmetic number, because the mean of its divisors is an integer number (18500061).

Almost surely, 2^37000121 is an apocalyptic number.

It is an amenable number.

37000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

37000121 is an equidigital number, since it uses as much as digits as its factorization.

37000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 37000121 is about 6082.7724764288. The cubic root of 37000121 is about 333.2225484064. Note that the first 3 decimals are identical.

Adding to 37000121 its reverse (12100073), we get a palindrome (49100194).

The spelling of 37000121 in words is "thirty-seven million, one hundred twenty-one", and thus it is an aban number.