312420033 has 12 divisors (see below), whose sum is σ = 477819108. Its totient is φ = 196028160.

The previous prime is 312420029. The next prime is 312420061. The reversal of 312420033 is 330024213.

It can be written as a sum of positive squares in 2 ways, for example, as 207705744 + 104714289 = 14412^2 + 10233^2 .

It is not a de Polignac number, because 312420033 - 2² = 312420029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312419988 and 312420015.

It is not an unprimeable number, because it can be changed into a prime (312420013) 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, 1020828 + ... + 1021133.

It is an arithmetic number, because the mean of its divisors is an integer number (39818259).

Almost surely, 2^312420033 is an apocalyptic number.

It is an amenable number.

312420033 is a deficient number, since it is larger than the sum of its proper divisors (165399075).

312420033 is a wasteful number, since it uses less digits than its factorization.

312420033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041984 (or 2041981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312420033 is about 17675.4075766303. The cubic root of 312420033 is about 678.5465155217.

Adding to 312420033 its reverse (330024213), we get a palindrome (642444246).

The spelling of 312420033 in words is "three hundred twelve million, four hundred twenty thousand, thirty-three".