208088541 has 16 divisors (see below), whose sum is σ = 308614720. Its totient is φ = 138574800.

The previous prime is 208088537. The next prime is 208088557. The reversal of 208088541 is 145880802.

It is not a de Polignac number, because 208088541 - 2² = 208088537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208088496 and 208088505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208088501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24711 + ... + 32043.

It is an arithmetic number, because the mean of its divisors is an integer number (19288420).

Almost surely, 2^208088541 is an apocalyptic number.

It is an amenable number.

208088541 is a deficient number, since it is larger than the sum of its proper divisors (100526179).

208088541 is a wasteful number, since it uses less digits than its factorization.

208088541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 208088541 is about 14425.2743821391. The cubic root of 208088541 is about 592.5832730258.

The spelling of 208088541 in words is "two hundred eight million, eighty-eight thousand, five hundred forty-one".