37349 has 8 divisors (see below), whose sum is σ = 42840. Its totient is φ = 32448.

The previous prime is 37339. The next prime is 37357. The reversal of 37349 is 94373.

37349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 30625 = 82^2 + 175^2 .

It is a de Polignac number, because none of the positive numbers 2^k-37349 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37349.

It is not an unprimeable number, because it can be changed into a prime (37309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189 + ... + 2205.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2³⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

37349 is a deficient number, since it is larger than the sum of its proper divisors (5491).

37349 is an equidigital number, since it uses as much as digits as its factorization.

37349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 37349 is about 193.2588937151. The cubic root of 37349 is about 33.4266606786.

The spelling of 37349 in words is "thirty-seven thousand, three hundred forty-nine".