27834312 has 64 divisors (see below), whose sum is σ = 77241600. Its totient is φ = 8287040.

The previous prime is 27834281. The next prime is 27834337. The reversal of 27834312 is 21343872.

It is a self number, because there is not a number n which added to its sum of digits gives 27834312.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14683 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (1206900).

Almost surely, 2^27834312 is an apocalyptic number.

27834312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27834312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620800).

27834312 is an abundant number, since it is smaller than the sum of its proper divisors (49407288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27834312 is a wasteful number, since it uses less digits than its factorization.

27834312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 27834312 is about 5275.8233480662. The cubic root of 27834312 is about 303.0587519093.

The spelling of 27834312 in words is "twenty-seven million, eight hundred thirty-four thousand, three hundred twelve".