263233 has 6 divisors (see below), whose sum is σ = 273494. Its totient is φ = 253344.

The previous prime is 263227. The next prime is 263239. The reversal of 263233 is 332362.

It is an interprime number because it is at equal distance from previous prime (263227) and next prime (263239).

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 262144 = 33^2 + 512^2 .

It is not a de Polignac number, because 263233 - 2⁵ = 263201 is a prime.

It is a super-2 number, since 2×263233² = 138583224578, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁷ + 6² + 2¹⁷ + 3⁴ + 3⁵ + 3⁶ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 263233.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263239) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 685 + ... + 997.

263233 is a Friedman number, since it can be written as 33^2+(2^3)^6, using all its digits and the basic arithmetic operations.

2²⁶³²³³ is an apocalyptic number.

It is an amenable number.

263233 is a deficient number, since it is larger than the sum of its proper divisors (10261).

263233 is an equidigital number, since it uses as much as digits as its factorization.

263233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 342 counting only the distinct ones).

The product of its digits is 648, while the sum is 19.

The square root of 263233 is about 513.0623743757. The cubic root of 263233 is about 64.0885006099.

Adding to 263233 its reverse (332362), we get a palindrome (595595).

It can be divided in two parts, 263 and 233, that added together give a triangular number (496 = T₃₁).

The spelling of 263233 in words is "two hundred sixty-three thousand, two hundred thirty-three".