263121 has 8 divisors (see below), whose sum is σ = 353280. Its totient is φ = 174192.

The previous prime is 263119. The next prime is 263129. The reversal of 263121 is 121362.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 263121 - 2¹ = 263119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 263121.

It is not an unprimeable number, because it can be changed into a prime (263129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (44160).

2²⁶³¹²¹ is an apocalyptic number.

It is an amenable number.

263121 is a deficient number, since it is larger than the sum of its proper divisors (90159).

263121 is a wasteful number, since it uses less digits than its factorization.

263121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

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

The square root of 263121 is about 512.9532142408. The cubic root of 263121 is about 64.0794098926.

Adding to 263121 its reverse (121362), we get a palindrome (384483).

The spelling of 263121 in words is "two hundred sixty-three thousand, one hundred twenty-one".