262262 has 32 divisors (see below), whose sum is σ = 532224. Its totient is φ = 93600.

The previous prime is 262261. The next prime is 262271.

262262 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2² + 6 + 2³ + 2⁶ + 6² + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937 + ... + 2067.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2²⁶²²⁶² is an apocalyptic number.

262262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

262262 is an abundant number, since it is smaller than the sum of its proper divisors (269962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

262262 is a wasteful number, since it uses less digits than its factorization.

262262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 576, while the sum is 20.

The square root of 262262 is about 512.1152214102. The cubic root of 262262 is about 64.0096014241.

The spelling of 262262 in words is "two hundred sixty-two thousand, two hundred sixty-two".