313402221 has 18 divisors (see below), whose sum is σ = 497588910. Its totient is φ = 189940080.

The previous prime is 313402211. The next prime is 313402231. The reversal of 313402221 is 122204313.

313402221 = 1549² + 1550² + ... + 1669².

It is an interprime number because it is at equal distance from previous prime (313402211) and next prime (313402231).

It can be written as a sum of positive squares in only one way, i.e., 305900100 + 7502121 = 17490^2 + 2739^2 .

It is not a de Polignac number, because 313402221 - 2¹⁷ = 313271149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313402194 and 313402203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313402211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142806 + ... + 144983.

Almost surely, 2^313402221 is an apocalyptic number.

It is an amenable number.

313402221 is a deficient number, since it is larger than the sum of its proper divisors (184186689).

313402221 is a wasteful number, since it uses less digits than its factorization.

313402221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287817 (or 287803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313402221 is about 17703.1698009142. The cubic root of 313402221 is about 679.2568445496.

Adding to 313402221 its reverse (122204313), we get a palindrome (435606534).

The spelling of 313402221 in words is "three hundred thirteen million, four hundred two thousand, two hundred twenty-one".