208955133 has 10 divisors (see below), whose sum is σ = 312142974. Its totient is φ = 139303368.

The previous prime is 208955129. The next prime is 208955137. The reversal of 208955133 is 331559802.

208955133 is a `hidden beast` number, since 20 + 89 + 551 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (208955129) and next prime (208955137).

It can be written as a sum of positive squares in only one way, i.e., 114126489 + 94828644 = 10683^2 + 9738^2 .

It is not a de Polignac number, because 208955133 - 2² = 208955129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208955137) 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 9 ways as a sum of consecutive naturals, for example, 1289766 + ... + 1289927.

Almost surely, 2^208955133 is an apocalyptic number.

It is an amenable number.

208955133 is a deficient number, since it is larger than the sum of its proper divisors (103187841).

208955133 is an equidigital number, since it uses as much as digits as its factorization.

208955133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579705 (or 2579696 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 208955133 is about 14455.2804538688. The cubic root of 208955133 is about 593.4047449783.

The spelling of 208955133 in words is "two hundred eight million, nine hundred fifty-five thousand, one hundred thirty-three".