363121 has 6 divisors (see below), whose sum is σ = 399266. Its totient is φ = 330000.

The previous prime is 363119. The next prime is 363149. The reversal of 363121 is 121363.

It can be written as a sum of positive squares in only one way, i.e., 314721 + 48400 = 561^2 + 220^2 .

It is not a de Polignac number, because 363121 - 2¹ = 363119 is a prime.

It is an Ulam number.

It is a Duffinian number.

363121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 363095 and 363104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1380 + ... + 1621.

2³⁶³¹²¹ is an apocalyptic number.

It is an amenable number.

363121 is a deficient number, since it is larger than the sum of its proper divisors (36145).

363121 is a wasteful number, since it uses less digits than its factorization.

363121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3012 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 363121 is about 602.5952206913. The cubic root of 363121 is about 71.3428501195.

Adding to 363121 its reverse (121363), we get a palindrome (484484).

It can be divided in two parts, 363 and 121, that added together give a palindrome (484).

The spelling of 363121 in words is "three hundred sixty-three thousand, one hundred twenty-one".