321201 has 12 divisors (see below), whose sum is σ = 470340. Its totient is φ = 211200.

The previous prime is 321199. The next prime is 321203. The reversal of 321201 is 102123.

It is a happy number.

321201 is a nontrivial binomial coefficient, being equal to C(802, 2).

It is an interprime number because it is at equal distance from previous prime (321199) and next prime (321203).

It can be written as a sum of positive squares in 2 ways, for example, as 216225 + 104976 = 465^2 + 324^2 .

It is not a de Polignac number, because 321201 - 2¹ = 321199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321201.

It is not an unprimeable number, because it can be changed into a prime (321203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (39195).

2³²¹²⁰¹ is an apocalyptic number.

321201 is the 801-st triangular number and also the 401-st hexagonal number.

It is an amenable number.

321201 is a deficient number, since it is larger than the sum of its proper divisors (149139).

321201 is a wasteful number, since it uses less digits than its factorization.

321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 321201 is about 566.7459748423. The cubic root of 321201 is about 68.4845010844.

Adding to 321201 its reverse (102123), we get a palindrome (423324).

The spelling of 321201 in words is "three hundred twenty-one thousand, two hundred one", and thus it is an iban number.