37085993 has 18 divisors (see below), whose sum is σ = 45896058. Its totient is φ = 29776320.

The previous prime is 37085989. The next prime is 37085999. The reversal of 37085993 is 39958073.

37085993 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 only one way, i.e., 34904464 + 2181529 = 5908^2 + 1477^2 .

It is not a de Polignac number, because 37085993 - 2² = 37085989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37085999) 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 in 17 ways as a sum of consecutive naturals, for example, 175658 + ... + 175868.

It is an arithmetic number, because the mean of its divisors is an integer number (2549781).

Almost surely, 2^37085993 is an apocalyptic number.

It is an amenable number.

37085993 is a deficient number, since it is larger than the sum of its proper divisors (8810065).

37085993 is an equidigital number, since it uses as much as digits as its factorization.

37085993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 37085993 is about 6089.8270090373. The cubic root of 37085993 is about 333.4801365592.

The spelling of 37085993 in words is "thirty-seven million, eighty-five thousand, nine hundred ninety-three".