37573 has 2 divisors, whose sum is σ = 37574. Its totient is φ = 37572.

The previous prime is 37571. The next prime is 37579.

37573 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37249 + 324 = 193^2 + 18^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 37573 - 2¹ = 37571 is a prime.

Together with 37571, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18786 + 18787.

It is an arithmetic number, because the mean of its divisors is an integer number (18787).

2³⁷⁵⁷³ is an apocalyptic number.

It is an amenable number.

37573 is a deficient number, since it is larger than the sum of its proper divisors (1).

37573 is an equidigital number, since it uses as much as digits as its factorization.

37573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2205, while the sum is 25.

The square root of 37573 is about 193.8375608596. The cubic root of 37573 is about 33.4933528060.

The spelling of 37573 in words is "thirty-seven thousand, five hundred seventy-three".