262101 has 12 divisors (see below), whose sum is σ = 406752. Its totient is φ = 149688.

The previous prime is 262079. The next prime is 262103. The reversal of 262101 is 101262.

It is not a de Polignac number, because 262101 - 2⁵ = 262069 is a prime.

It is a Curzon number.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (33896).

2²⁶²¹⁰¹ is an apocalyptic number.

262101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

262101 is a deficient number, since it is larger than the sum of its proper divisors (144651).

262101 is a wasteful number, since it uses less digits than its factorization.

262101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 262101 is about 511.9580060903. The cubic root of 262101 is about 63.9965004597.

Adding to 262101 its reverse (101262), we get a palindrome (363363).

It can be divided in two parts, 262 and 101, that multiplied together give a palindrome (26462).

The spelling of 262101 in words is "two hundred sixty-two thousand, one hundred one".