208541457 has 24 divisors (see below), whose sum is σ = 309640968. Its totient is φ = 135168000.

The previous prime is 208541449. The next prime is 208541461. The reversal of 208541457 is 754145802.

It can be written as a sum of positive squares in 4 ways, for example, as 36433296 + 172108161 = 6036^2 + 13119^2 .

It is not a de Polignac number, because 208541457 - 2³ = 208541449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208541447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129457 + ... + 131057.

It is an arithmetic number, because the mean of its divisors is an integer number (12901707).

Almost surely, 2^208541457 is an apocalyptic number.

It is an amenable number.

208541457 is a deficient number, since it is larger than the sum of its proper divisors (101099511).

208541457 is a wasteful number, since it uses less digits than its factorization.

208541457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 208541457 is about 14440.9645453481. The cubic root of 208541457 is about 593.0128913626.

The spelling of 208541457 in words is "two hundred eight million, five hundred forty-one thousand, four hundred fifty-seven".