205902 has 40 divisors (see below), whose sum is σ = 487872. Its totient is φ = 64800.

The previous prime is 205883. The next prime is 205913. The reversal of 205902 is 209502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205902.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5002 + ... + 5042.

2²⁰⁵⁹⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936).

205902 is an abundant number, since it is smaller than the sum of its proper divisors (281970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205902 is a wasteful number, since it uses less digits than its factorization.

205902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 205902 is about 453.7642559744. The cubic root of 205902 is about 59.0500389433.

Subtracting 205902 from its reverse (209502), we obtain a square (3600 = 60²).

The spelling of 205902 in words is "two hundred five thousand, nine hundred two".