214001321 has 12 divisors (see below), whose sum is σ = 229376892. Its totient is φ = 199600128.

The previous prime is 214001257. The next prime is 214001323. The reversal of 214001321 is 123100412.

It can be written as a sum of positive squares in 6 ways, for example, as 2706025 + 211295296 = 1645^2 + 14536^2 .

It is not a de Polignac number, because 214001321 - 2⁶ = 214001257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214001296 and 214001305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214001323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29381 + ... + 35933.

It is an arithmetic number, because the mean of its divisors is an integer number (19114741).

Almost surely, 2^214001321 is an apocalyptic number.

It is an amenable number.

214001321 is a deficient number, since it is larger than the sum of its proper divisors (15375571).

214001321 is a wasteful number, since it uses less digits than its factorization.

214001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 214001321 is about 14628.7839891086. The cubic root of 214001321 is about 598.1436337267.

Adding to 214001321 its reverse (123100412), we get a palindrome (337101733).

Subtracting from 214001321 its reverse (123100412), we obtain a palindrome (90900909).

The spelling of 214001321 in words is "two hundred fourteen million, one thousand, three hundred twenty-one".