208257 has 16 divisors (see below), whose sum is σ = 325632. Its totient is φ = 115920.

The previous prime is 208253. The next prime is 208261. The reversal of 208257 is 752802.

It is an interprime number because it is at equal distance from previous prime (208253) and next prime (208261).

It is not a de Polignac number, because 208257 - 2² = 208253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (20352).

2²⁰⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

208257 is a deficient number, since it is larger than the sum of its proper divisors (117375).

208257 is a wasteful number, since it uses less digits than its factorization.

208257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 208257 is about 456.3518379496. The cubic root of 208257 is about 59.2743139365.

It can be divided in two parts, 208 and 257, that added together give a triangular number (465 = T₃₀).

The spelling of 208257 in words is "two hundred eight thousand, two hundred fifty-seven".