205954 has 16 divisors (see below), whose sum is σ = 361728. Its totient is φ = 86112.

The previous prime is 205951. The next prime is 205957. The reversal of 205954 is 459502.

It is an interprime number because it is at equal distance from previous prime (205951) and next prime (205957).

It is not an unprimeable number, because it can be changed into a prime (205951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (22608).

2²⁰⁵⁹⁵⁴ is an apocalyptic number.

205954 is a deficient number, since it is larger than the sum of its proper divisors (155774).

205954 is a wasteful number, since it uses less digits than its factorization.

205954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 205954 is about 453.8215508325. The cubic root of 205954 is about 59.0550095014.

The spelling of 205954 in words is "two hundred five thousand, nine hundred fifty-four".