202309 has 2 divisors, whose sum is σ = 202310. Its totient is φ = 202308.

The previous prime is 202291. The next prime is 202327. The reversal of 202309 is 903202.

It is a balanced prime because it is at equal distance from previous prime (202291) and next prime (202327).

It can be written as a sum of positive squares in only one way, i.e., 199809 + 2500 = 447^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 202309 - 2⁵ = 202277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202292 and 202301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101154 + 101155.

It is an arithmetic number, because the mean of its divisors is an integer number (101155).

2²⁰²³⁰⁹ is an apocalyptic number.

It is an amenable number.

202309 is a deficient number, since it is larger than the sum of its proper divisors (1).

202309 is an equidigital number, since it uses as much as digits as its factorization.

202309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 202309 is about 449.7877277116. The cubic root of 202309 is about 58.7045461006.

The spelling of 202309 in words is "two hundred two thousand, three hundred nine".