237216 has 48 divisors (see below), whose sum is σ = 713664. Its totient is φ = 67584.

The previous prime is 237203. The next prime is 237217. The reversal of 237216 is 612732.

It is a happy number.

237216 is nontrivially palindromic in base 11.

237216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 237192 and 237201.

It is not an unprimeable number, because it can be changed into a prime (237217) by changing a digit.

237216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (14868).

2²³⁷²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 237216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356832).

237216 is an abundant number, since it is smaller than the sum of its proper divisors (476448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

237216 is a wasteful number, since it uses less digits than its factorization.

237216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 237216 is about 487.0482522297. The cubic root of 237216 is about 61.9034223059.

Adding to 237216 its reverse (612732), we get a palindrome (849948).

The spelling of 237216 in words is "two hundred thirty-seven thousand, two hundred sixteen".