363897 has 6 divisors (see below), whose sum is σ = 525642. Its totient is φ = 242592.

The previous prime is 363889. The next prime is 363901. The reversal of 363897 is 798363.

It can be written as a sum of positive squares in only one way, i.e., 251001 + 112896 = 501^2 + 336^2 .

It is not a de Polignac number, because 363897 - 2³ = 363889 is a prime.

363897 is a lucky number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363897.

It is not an unprimeable number, because it can be changed into a prime (363887) 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 in 5 ways as a sum of consecutive naturals, for example, 20208 + ... + 20225.

It is an arithmetic number, because the mean of its divisors is an integer number (87607).

2³⁶³⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

363897 is a deficient number, since it is larger than the sum of its proper divisors (161745).

363897 is a wasteful number, since it uses less digits than its factorization.

363897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40439 (or 40436 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 363897 is about 603.2387587017. The cubic root of 363897 is about 71.3936345336.

The spelling of 363897 in words is "three hundred sixty-three thousand, eight hundred ninety-seven".