27834957 has 12 divisors (see below), whose sum is σ = 40268124. Its totient is φ = 18528000.

The previous prime is 27834929. The next prime is 27834959. The reversal of 27834957 is 75943872.

It can be written as a sum of positive squares in 2 ways, for example, as 1425636 + 26409321 = 1194^2 + 5139^2 .

It is not a de Polignac number, because 27834957 - 2¹⁶ = 27769421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27834959) 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 11 ways as a sum of consecutive naturals, for example, 4957 + ... + 8957.

It is an arithmetic number, because the mean of its divisors is an integer number (3355677).

Almost surely, 2^27834957 is an apocalyptic number.

It is an amenable number.

27834957 is a deficient number, since it is larger than the sum of its proper divisors (12433167).

27834957 is a wasteful number, since it uses less digits than its factorization.

27834957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4777 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 27834957 is about 5275.8844756116. The cubic root of 27834957 is about 303.0610928017.

The spelling of 27834957 in words is "twenty-seven million, eight hundred thirty-four thousand, nine hundred fifty-seven".