235312 has 40 divisors (see below), whose sum is σ = 571392. Its totient is φ = 91200.

The previous prime is 235309. The next prime is 235337. The reversal of 235312 is 213532.

235312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 1327.

2²³⁵³¹² is an apocalyptic number.

235312 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 235312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

235312 is an abundant number, since it is smaller than the sum of its proper divisors (336080).

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

235312 is a wasteful number, since it uses less digits than its factorization.

235312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 235312 is about 485.0896824300. The cubic root of 235312 is about 61.7373558336.

Adding to 235312 its reverse (213532), we get a palindrome (448844).

It can be divided in two parts, 23 and 5312, that added together give a palindrome (5335).

The spelling of 235312 in words is "two hundred thirty-five thousand, three hundred twelve".