262541 has 2 divisors, whose sum is σ = 262542. Its totient is φ = 262540.

The previous prime is 262519. The next prime is 262543. The reversal of 262541 is 145262.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198025 + 64516 = 445^2 + 254^2 .

It is a cyclic number.

It is not a de Polignac number, because 262541 - 2¹⁸ = 397 is a prime.

Together with 262543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (262543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131270 + 131271.

It is an arithmetic number, because the mean of its divisors is an integer number (131271).

2²⁶²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

262541 is a deficient number, since it is larger than the sum of its proper divisors (1).

262541 is an equidigital number, since it uses as much as digits as its factorization.

262541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480, while the sum is 20.

The square root of 262541 is about 512.3875486387. The cubic root of 262541 is about 64.0322916470.

It can be divided in two parts, 26 and 2541, that multiplied together give a palindrome (66066).

The spelling of 262541 in words is "two hundred sixty-two thousand, five hundred forty-one".