361349 has 2 divisors, whose sum is σ = 361350. Its totient is φ = 361348.

The previous prime is 361337. The next prime is 361351. The reversal of 361349 is 943163.

361349 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 93025 = 518^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 361349 - 2⁸ = 361093 is a prime.

Together with 361351, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361349.

It is not a weakly prime, because it can be changed into another prime (361549) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180674 + 180675.

It is an arithmetic number, because the mean of its divisors is an integer number (180675).

2³⁶¹³⁴⁹ is an apocalyptic number.

It is an amenable number.

361349 is a deficient number, since it is larger than the sum of its proper divisors (1).

361349 is an equidigital number, since it uses as much as digits as its factorization.

361349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

The square root of 361349 is about 601.1231155096. The cubic root of 361349 is about 71.2266117962.

The spelling of 361349 in words is "three hundred sixty-one thousand, three hundred forty-nine".