113221 has 8 divisors (see below), whose sum is σ = 122400. Its totient is φ = 104400.

The previous prime is 113213. The next prime is 113227. The reversal of 113221 is 122311.

113221 = 68² + 69² + ... + 86².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113221 - 2³ = 113213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113198 and 113207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1071 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2¹¹³²²¹ is an apocalyptic number.

It is an amenable number.

113221 is a deficient number, since it is larger than the sum of its proper divisors (9179).

113221 is a wasteful number, since it uses less digits than its factorization.

113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 12, while the sum is 10.

The square root of 113221 is about 336.4832833886. The cubic root of 113221 is about 48.3773782680.

Adding to 113221 its reverse (122311), we get a palindrome (235532).

The spelling of 113221 in words is "one hundred thirteen thousand, two hundred twenty-one".