37873261 has 2 divisors, whose sum is σ = 37873262. Its totient is φ = 37873260.

The previous prime is 37873243. The next prime is 37873271. The reversal of 37873261 is 16237873.

37873261 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., 31573161 + 6300100 = 5619^2 + 2510^2 .

It is a cyclic number.

It is not a de Polignac number, because 37873261 - 2⁷ = 37873133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37873261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37873271) 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, 18936630 + 18936631.

It is an arithmetic number, because the mean of its divisors is an integer number (18936631).

Almost surely, 2^37873261 is an apocalyptic number.

It is an amenable number.

37873261 is a deficient number, since it is larger than the sum of its proper divisors (1).

37873261 is an equidigital number, since it uses as much as digits as its factorization.

37873261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 37.

The square root of 37873261 is about 6154.1255268316. The cubic root of 37873261 is about 335.8233582341.

The spelling of 37873261 in words is "thirty-seven million, eight hundred seventy-three thousand, two hundred sixty-one".