262881 has 6 divisors (see below), whose sum is σ = 379730. Its totient is φ = 175248.

The previous prime is 262877. The next prime is 262883. The reversal of 262881 is 188262.

It can be written as a sum of positive squares in only one way, i.e., 216225 + 46656 = 465^2 + 216^2 .

It is not a de Polignac number, because 262881 - 2² = 262877 is a prime.

It is a super-2 number, since 2×262881² = 138212840322, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 8 + 2¹⁷ + 8³ + 1 .

It is a Duffinian number.

262881 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (262883) 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, 14596 + ... + 14613.

2²⁶²⁸⁸¹ is an apocalyptic number.

It is an amenable number.

262881 is a deficient number, since it is larger than the sum of its proper divisors (116849).

262881 is a wasteful number, since it uses less digits than its factorization.

262881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29215 (or 29212 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 262881 is about 512.7192214068. The cubic root of 262881 is about 64.0599210939.

The spelling of 262881 in words is "two hundred sixty-two thousand, eight hundred eighty-one".