263272 has 8 divisors (see below), whose sum is σ = 493650. Its totient is φ = 131632.

The previous prime is 263269. The next prime is 263273. The reversal of 263272 is 272362.

It can be written as a sum of positive squares in only one way, i.e., 181476 + 81796 = 426^2 + 286^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 2⁶ + 6 + 2¹⁰ + 3³ + 7 + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (263273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16447 + ... + 16462.

2²⁶³²⁷² is an apocalyptic number.

It is an amenable number.

263272 is a deficient number, since it is larger than the sum of its proper divisors (230378).

263272 is a wasteful number, since it uses less digits than its factorization.

263272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32915 (or 32911 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 263272 is about 513.1003800427. The cubic root of 263272 is about 64.0916655222.

It can be divided in two parts, 2632 and 72, that added together give a square (2704 = 52²).

The spelling of 263272 in words is "two hundred sixty-three thousand, two hundred seventy-two".