37540381 has 2 divisors, whose sum is σ = 37540382. Its totient is φ = 37540380.

The previous prime is 37540361. The next prime is 37540397. The reversal of 37540381 is 18304573.

37540381 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., 32387481 + 5152900 = 5691^2 + 2270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37540381 is a prime.

It is a super-2 number, since 2×37540381² = 2818560411250322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37540331) 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, 18770190 + 18770191.

It is an arithmetic number, because the mean of its divisors is an integer number (18770191).

Almost surely, 2^37540381 is an apocalyptic number.

It is an amenable number.

37540381 is a deficient number, since it is larger than the sum of its proper divisors (1).

37540381 is an equidigital number, since it uses as much as digits as its factorization.

37540381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 37540381 is about 6127.0205646791. The cubic root of 37540381 is about 334.8365758175.

The spelling of 37540381 in words is "thirty-seven million, five hundred forty thousand, three hundred eighty-one".