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208385 = 571587
BaseRepresentation
bin110010111000000001
3101120211222
4302320001
523132020
64244425
71525352
oct627001
9346758
10208385
11132621
12a0715
1373b08
1455d29
1541b25
hex32e01

208385 has 8 divisors (see below), whose sum is σ = 254016. Its totient is φ = 164080.

The previous prime is 208379. The next prime is 208387. The reversal of 208385 is 583802.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 208385 - 28 = 208129 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208385.

It is not an unprimeable number, because it can be changed into a prime (208387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

It is a Proth number, since it is equal to 407 ⋅ 29 + 1 and 407 < 29.

2208385 is an apocalyptic number.

It is an amenable number.

208385 is a deficient number, since it is larger than the sum of its proper divisors (45631).

208385 is an equidigital number, since it uses as much as digits as its factorization.

208385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 208385 is about 456.4920590766. The cubic root of 208385 is about 59.2864552783.

The spelling of 208385 in words is "two hundred eight thousand, three hundred eighty-five".

Divisors: 1 5 71 355 587 2935 41677 208385