37253873 has 2 divisors, whose sum is σ = 37253874. Its totient is φ = 37253872.

The previous prime is 37253863. The next prime is 37253891. The reversal of 37253873 is 37835273.

37253873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24127744 + 13126129 = 4912^2 + 3623^2 .

It is a cyclic number.

It is not a de Polignac number, because 37253873 - 2⁸ = 37253617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37253863) 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, 18626936 + 18626937.

It is an arithmetic number, because the mean of its divisors is an integer number (18626937).

Almost surely, 2^37253873 is an apocalyptic number.

It is an amenable number.

37253873 is a deficient number, since it is larger than the sum of its proper divisors (1).

37253873 is an equidigital number, since it uses as much as digits as its factorization.

37253873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 38.

The square root of 37253873 is about 6103.5950881427. The cubic root of 37253873 is about 333.9825758537.

It can be divided in two parts, 372 and 53873, that added together give a palindrome (54245).

The spelling of 37253873 in words is "thirty-seven million, two hundred fifty-three thousand, eight hundred seventy-three".