203713 has 2 divisors, whose sum is σ = 203714. Its totient is φ = 203712.

The previous prime is 203669. The next prime is 203761. The reversal of 203713 is 317302.

203713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 37249 = 408^2 + 193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-203713 is a prime.

It is a lonely number, since its distance to closest prime (203669) sets a new record.

203713 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (203773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101856 + 101857.

It is an arithmetic number, because the mean of its divisors is an integer number (101857).

2²⁰³⁷¹³ is an apocalyptic number.

It is an amenable number.

203713 is a deficient number, since it is larger than the sum of its proper divisors (1).

203713 is an equidigital number, since it uses as much as digits as its factorization.

203713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 203713 is about 451.3457654615. The cubic root of 203713 is about 58.8400339766.

The spelling of 203713 in words is "two hundred three thousand, seven hundred thirteen".