208541 has 4 divisors (see below), whose sum is σ = 217632. Its totient is φ = 199452.

The previous prime is 208529. The next prime is 208553. The reversal of 208541 is 145802.

208541 = T₁₂₃ + T₁₂₄ + ... + T₁₄₅.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 145802 = 2 ⋅72901.

It is an interprime number because it is at equal distance from previous prime (208529) and next prime (208553).

It is a cyclic number.

It is not a de Polignac number, because 208541 - 2¹⁰ = 207517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4511 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (54408).

2²⁰⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

208541 is a deficient number, since it is larger than the sum of its proper divisors (9091).

208541 is an equidigital number, since it uses as much as digits as its factorization.

208541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 208541 is about 456.6628953616. The cubic root of 208541 is about 59.3012458184.

It can be divided in two parts, 20 and 8541, that multiplied together give a triangular number (170820 = T₅₈₄).

The spelling of 208541 in words is "two hundred eight thousand, five hundred forty-one".