37285 has 4 divisors (see below), whose sum is σ = 44748. Its totient is φ = 29824.

The previous prime is 37277. The next prime is 37307. The reversal of 37285 is 58273.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 58273 = 19 ⋅3067.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 24964 = 111^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 37285 - 2³ = 37277 is a prime.

It is a Duffinian number.

37285 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 3724 + ... + 3733.

It is an arithmetic number, because the mean of its divisors is an integer number (11187).

2³⁷²⁸⁵ is an apocalyptic number.

It is an amenable number.

37285 is a deficient number, since it is larger than the sum of its proper divisors (7463).

37285 is an equidigital number, since it uses as much as digits as its factorization.

37285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462.

The product of its digits is 1680, while the sum is 25.

The square root of 37285 is about 193.0932417253. The cubic root of 37285 is about 33.4075568257.

The spelling of 37285 in words is "thirty-seven thousand, two hundred eighty-five".