262561 has 8 divisors (see below), whose sum is σ = 297920. Its totient is φ = 229392.

The previous prime is 262553. The next prime is 262567. The reversal of 262561 is 165262.

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

It is a cyclic number.

It is not a de Polignac number, because 262561 - 2³ = 262553 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (262567) 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 in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2²⁶²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

262561 is a deficient number, since it is larger than the sum of its proper divisors (35359).

262561 is a wasteful number, since it uses less digits than its factorization.

262561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095.

The product of its digits is 720, while the sum is 22.

The square root of 262561 is about 512.4070647444. The cubic root of 262561 is about 64.0339175687.

The spelling of 262561 in words is "two hundred sixty-two thousand, five hundred sixty-one".