208953 has 16 divisors (see below), whose sum is σ = 316800. Its totient is φ = 136080.

The previous prime is 208933. The next prime is 208961. The reversal of 208953 is 359802.

It is not a de Polignac number, because 208953 - 2⁶ = 208889 is a prime.

It is a super-2 number, since 2×208953² = 87322712418, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (208933) 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, 1863 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2²⁰⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

208953 is a deficient number, since it is larger than the sum of its proper divisors (107847).

208953 is a wasteful number, since it uses less digits than its factorization.

208953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 208953 is about 457.1137713961. The cubic root of 208953 is about 59.3402725826.

The spelling of 208953 in words is "two hundred eight thousand, nine hundred fifty-three".