363397 has 2 divisors, whose sum is σ = 363398. Its totient is φ = 363396.

The previous prime is 363379. The next prime is 363401. The reversal of 363397 is 793363.

It is a happy number.

363397 is nontrivially palindromic in base 16.

Together with previous prime (363379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229441 + 133956 = 479^2 + 366^2 .

It is a cyclic number.

It is not a de Polignac number, because 363397 - 2⁷ = 363269 is a prime.

It is a super-3 number, since 3×363397³ = 143967766733315319, which contains 333 as substring.

It is an Ulam number.

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 363397.

It is not a weakly prime, because it can be changed into another prime (363317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181698 + 181699.

It is an arithmetic number, because the mean of its divisors is an integer number (181699).

2³⁶³³⁹⁷ is an apocalyptic number.

It is an amenable number.

363397 is a deficient number, since it is larger than the sum of its proper divisors (1).

363397 is an equidigital number, since it uses as much as digits as its factorization.

363397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 31.

The square root of 363397 is about 602.8241866415. The cubic root of 363397 is about 71.3609209003.

The spelling of 363397 in words is "three hundred sixty-three thousand, three hundred ninety-seven".