187361 has 2 divisors, whose sum is σ = 187362. Its totient is φ = 187360.

The previous prime is 187349. The next prime is 187367. The reversal of 187361 is 163781.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185761 + 1600 = 431^2 + 40^2 .

It is an emirp because it is prime and its reverse (163781) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-187361 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 187361.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 187361.

It is not a weakly prime, because it can be changed into another prime (187367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93680 + 93681.

It is an arithmetic number, because the mean of its divisors is an integer number (93681).

2¹⁸⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

187361 is a deficient number, since it is larger than the sum of its proper divisors (1).

187361 is an equidigital number, since it uses as much as digits as its factorization.

187361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 26.

The square root of 187361 is about 432.8521687597. The cubic root of 187361 is about 57.2215650508.

The spelling of 187361 in words is "one hundred eighty-seven thousand, three hundred sixty-one".