312201 has 16 divisors (see below), whose sum is σ = 478720. Its totient is φ = 200880.

The previous prime is 312199. The next prime is 312203. The reversal of 312201 is 102213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312199) and next prime (312203).

It is not a de Polignac number, because 312201 - 2¹ = 312199 is a prime.

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

It is a Duffinian 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 312201.

It is not an unprimeable number, because it can be changed into a prime (312203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (29920).

2³¹²²⁰¹ is an apocalyptic number.

312201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312201 is a deficient number, since it is larger than the sum of its proper divisors (166519).

312201 is a wasteful number, since it uses less digits than its factorization.

312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

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

The square root of 312201 is about 558.7494966441. The cubic root of 312201 is about 67.8387905521.

Adding to 312201 its product of nonzero digits (12), we get a palindrome (312213).

Adding to 312201 its reverse (102213), we get a palindrome (414414).

The spelling of 312201 in words is "three hundred twelve thousand, two hundred one", and thus it is an iban number.