312027993 has 24 divisors (see below), whose sum is σ = 470507336. Its totient is φ = 199065600.

The previous prime is 312027953. The next prime is 312027997. The reversal of 312027993 is 399720213.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 251000649 = 7812^2 + 15843^2 .

It is not a de Polignac number, because 312027993 - 2⁶ = 312027929 is a prime.

It is a super-2 number, since 2×312027993² = 194722936831216098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312027997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12633 + ... + 27993.

Almost surely, 2^312027993 is an apocalyptic number.

It is an amenable number.

312027993 is a deficient number, since it is larger than the sum of its proper divisors (158479343).

312027993 is a wasteful number, since it uses less digits than its factorization.

312027993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15465 (or 15462 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 312027993 is about 17664.3141106582. The cubic root of 312027993 is about 678.2625722231.

It can be divided in two parts, 3120 and 27993, that added together give a palindrome (31113).

The spelling of 312027993 in words is "three hundred twelve million, twenty-seven thousand, nine hundred ninety-three".