237952 has 48 divisors (see below), whose sum is σ = 559980. Its totient is φ = 99840.

The previous prime is 237929. The next prime is 237959. The reversal of 237952 is 259732.

It is a d-powerful number, because it can be written as 2⁵ + 3¹⁰ + 9⁵ + 7⁶ + 5³ + 2¹¹ .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 237952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237959) by changing a digit.

237952 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 5 ways as a sum of consecutive naturals, for example, 18298 + ... + 18310.

2²³⁷⁹⁵² is an apocalyptic number.

237952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279990).

237952 is an abundant number, since it is smaller than the sum of its proper divisors (322028).

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

237952 is a wasteful number, since it uses less digits than its factorization.

237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 26 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 237952 is about 487.8032390216. The cubic root of 237952 is about 61.9673779131.

The spelling of 237952 in words is "two hundred thirty-seven thousand, nine hundred fifty-two".