237285 has 12 divisors (see below), whose sum is σ = 411372. Its totient is φ = 126528.

The previous prime is 237283. The next prime is 237287. The reversal of 237285 is 582732.

It is an interprime number because it is at equal distance from previous prime (237283) and next prime (237287).

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 136161 = 318^2 + 369^2 .

It is not a de Polignac number, because 237285 - 2¹ = 237283 is a prime.

It is a d-powerful number, because it can be written as 2¹⁰ + 3⁹ + 2¹⁶ + 7⁶ + 8⁵ + 5⁴ .

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2592 + ... + 2681.

It is an arithmetic number, because the mean of its divisors is an integer number (34281).

2²³⁷²⁸⁵ is an apocalyptic number.

It is an amenable number.

237285 is a deficient number, since it is larger than the sum of its proper divisors (174087).

237285 is a wasteful number, since it uses less digits than its factorization.

237285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5281 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 237285 is about 487.1190819502. The cubic root of 237285 is about 61.9094237590.

The spelling of 237285 in words is "two hundred thirty-seven thousand, two hundred eighty-five".