205702 has 12 divisors (see below), whose sum is σ = 359100. Its totient is φ = 88116.

The previous prime is 205663. The next prime is 205703. The reversal of 205702 is 207502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 952 + ... + 1147.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2²⁰⁵⁷⁰² is an apocalyptic number.

205702 is a deficient number, since it is larger than the sum of its proper divisors (153398).

205702 is a wasteful number, since it uses less digits than its factorization.

205702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 205702 is about 453.5438236819. The cubic root of 205702 is about 59.0309136091.

The spelling of 205702 in words is "two hundred five thousand, seven hundred two".