27827845 has 16 divisors (see below), whose sum is σ = 34031088. Its totient is φ = 21841920.

The previous prime is 27827797. The next prime is 27827857. The reversal of 27827845 is 54872872.

It can be written as a sum of positive squares in 8 ways, for example, as 11819844 + 16008001 = 3438^2 + 4001^2 .

It is not a de Polignac number, because 27827845 - 2⁷ = 27827717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87627 + ... + 87943.

It is an arithmetic number, because the mean of its divisors is an integer number (2126943).

Almost surely, 2^27827845 is an apocalyptic number.

It is an amenable number.

27827845 is a deficient number, since it is larger than the sum of its proper divisors (6203243).

27827845 is a wasteful number, since it uses less digits than its factorization.

27827845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its digits is 250880, while the sum is 43.

The square root of 27827845 is about 5275.2104223434. The cubic root of 27827845 is about 303.0352792885.

It can be divided in two parts, 278278 and 45, that multiplied together give a triangular number (12522510 = T₅₀₀₄).

The spelling of 27827845 in words is "twenty-seven million, eight hundred twenty-seven thousand, eight hundred forty-five".