237133 has 16 divisors (see below), whose sum is σ = 287280. Its totient is φ = 193536.

The previous prime is 237091. The next prime is 237137. The reversal of 237133 is 331732.

It can be written as a sum of positive squares in 8 ways, for example, as 8649 + 228484 = 93^2 + 478^2 .

It is a 5-Lehmer number, since φ(237133) divides (237133-1)⁵.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-237133 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 3⁴ + 1 + 7³ + 3¹⁰ + 3¹¹ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 237133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6391 + ... + 6427.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2²³⁷¹³³ is an apocalyptic number.

It is an amenable number.

237133 is a deficient number, since it is larger than the sum of its proper divisors (50147).

237133 is a wasteful number, since it uses less digits than its factorization.

237133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its digits is 378, while the sum is 19.

The square root of 237133 is about 486.9630376117. The cubic root of 237133 is about 61.8962016246.

Adding to 237133 its reverse (331732), we get a palindrome (568865).

It can be divided in two parts, 23713 and 3, that added together give a square (23716 = 154²).

The spelling of 237133 in words is "two hundred thirty-seven thousand, one hundred thirty-three".