202361 has 2 divisors, whose sum is σ = 202362. Its totient is φ = 202360.

The previous prime is 202357. The next prime is 202381. The reversal of 202361 is 163202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 75625 = 356^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 202361 - 2² = 202357 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202361.

It is not a weakly prime, because it can be changed into another prime (202381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101180 + 101181.

It is an arithmetic number, because the mean of its divisors is an integer number (101181).

2²⁰²³⁶¹ is an apocalyptic number.

It is an amenable number.

202361 is a deficient number, since it is larger than the sum of its proper divisors (1).

202361 is an equidigital number, since it uses as much as digits as its factorization.

202361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 202361 is about 449.8455290430. The cubic root of 202361 is about 58.7095753297.

Adding to 202361 its reverse (163202), we get a palindrome (365563).

The spelling of 202361 in words is "two hundred two thousand, three hundred sixty-one".