180361 has 2 divisors, whose sum is σ = 180362. Its totient is φ = 180360.

The previous prime is 180347. The next prime is 180371. The reversal of 180361 is 163081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156025 + 24336 = 395^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 180361 - 2⁷ = 180233 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90180 + 90181.

It is an arithmetic number, because the mean of its divisors is an integer number (90181).

2¹⁸⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

180361 is a deficient number, since it is larger than the sum of its proper divisors (1).

180361 is an equidigital number, since it uses as much as digits as its factorization.

180361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 180361 is about 424.6892981934. The cubic root of 180361 is about 56.4998825278.

It can be divided in two parts, 180 and 361, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 180361 in words is "one hundred eighty thousand, three hundred sixty-one".