363149 has 2 divisors, whose sum is σ = 363150. Its totient is φ = 363148.

The previous prime is 363119. The next prime is 363151. The reversal of 363149 is 941363.

363149 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310249 + 52900 = 557^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 363149 - 2¹⁶ = 297613 is a prime.

Together with 363151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363119) 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, 181574 + 181575.

It is an arithmetic number, because the mean of its divisors is an integer number (181575).

2³⁶³¹⁴⁹ is an apocalyptic number.

It is an amenable number.

363149 is a deficient number, since it is larger than the sum of its proper divisors (1).

363149 is an equidigital number, since it uses as much as digits as its factorization.

363149 is an odious number, because the sum of its binary digits is odd.

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

The square root of 363149 is about 602.6184530862. The cubic root of 363149 is about 71.3446838044.

It can be divided in two parts, 363 and 149, that added together give a 9-th power (512 = 2⁹).

The spelling of 363149 in words is "three hundred sixty-three thousand, one hundred forty-nine".