208832193 has 6 divisors (see below), whose sum is σ = 301646514. Its totient is φ = 139221456.

The previous prime is 208832171. The next prime is 208832227. The reversal of 208832193 is 391238802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 195524289 + 13307904 = 13983^2 + 3648^2 .

It is not a de Polignac number, because 208832193 - 2⁸ = 208831937 is a prime.

It is a super-2 number, since 2×208832193² = 87221769666378498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208832693) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11601780 + ... + 11601797.

It is an arithmetic number, because the mean of its divisors is an integer number (50274419).

Almost surely, 2^208832193 is an apocalyptic number.

It is an amenable number.

208832193 is a deficient number, since it is larger than the sum of its proper divisors (92814321).

208832193 is a wasteful number, since it uses less digits than its factorization.

208832193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23203583 (or 23203580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 208832193 is about 14451.0274029219. The cubic root of 208832193 is about 593.2883444055.

The spelling of 208832193 in words is "two hundred eight million, eight hundred thirty-two thousand, one hundred ninety-three".