263112 has 32 divisors (see below), whose sum is σ = 693600. Its totient is φ = 82944.

The previous prime is 263111. The next prime is 263119. The reversal of 263112 is 211362.

263112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 263091 and 263100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263112.

It is not an unprimeable number, because it can be changed into a prime (263111) 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, 168 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (21675).

2²⁶³¹¹² 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 263112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346800).

263112 is an abundant number, since it is smaller than the sum of its proper divisors (430488).

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

263112 is a wasteful number, since it uses less digits than its factorization.

263112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 263112 is about 512.9444414359. The cubic root of 263112 is about 64.0786792766.

Adding to 263112 its reverse (211362), we get a palindrome (474474).

The spelling of 263112 in words is "two hundred sixty-three thousand, one hundred twelve".