45237 has 8 divisors (see below), whose sum is σ = 63936. Its totient is φ = 28352.

The previous prime is 45233. The next prime is 45247. The reversal of 45237 is 73254.

It is a happy number.

45237 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45237 - 2² = 45233 is a prime.

It is a d-powerful number, because it can be written as 4⁷ + 5⁵ + 2¹³ + 3⁶ + 7⁵ .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45233) 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, 393 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2⁴⁵²³⁷ is an apocalyptic number.

It is an amenable number.

45237 is a deficient number, since it is larger than the sum of its proper divisors (18699).

45237 is a wasteful number, since it uses less digits than its factorization.

45237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its digits is 840, while the sum is 21.

The square root of 45237 is about 212.6899151347. The cubic root of 45237 is about 35.6312669800.

It can be divided in two parts, 45 and 237, that added together give a palindrome (282).

The spelling of 45237 in words is "forty-five thousand, two hundred thirty-seven".