312132321 has 6 divisors (see below), whose sum is σ = 450857810. Its totient is φ = 208088208.

The previous prime is 312132299. The next prime is 312132341. The reversal of 312132321 is 123231213.

312132321 is a `hidden beast` number, since 312 + 1 + 32 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208398096 + 103734225 = 14436^2 + 10185^2 .

It is not a de Polignac number, because 312132321 - 2¹⁵ = 312099553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312132294 and 312132303.

It is not an unprimeable number, because it can be changed into a prime (312132341) 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 5 ways as a sum of consecutive naturals, for example, 17340676 + ... + 17340693.

Almost surely, 2^312132321 is an apocalyptic number.

It is an amenable number.

312132321 is a deficient number, since it is larger than the sum of its proper divisors (138725489).

312132321 is a wasteful number, since it uses less digits than its factorization.

312132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34681375 (or 34681372 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 312132321 is about 17667.2669363430. The cubic root of 312132321 is about 678.3381572071.

Adding to 312132321 its reverse (123231213), we get a palindrome (435363534).

The spelling of 312132321 in words is "three hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".