27957645 has 36 divisors (see below), whose sum is σ = 51174396. Its totient is φ = 14117760.

The previous prime is 27957623. The next prime is 27957647. The reversal of 27957645 is 54675972.

27957645 is a `hidden beast` number, since 2 + 79 + 576 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15468489 + 12489156 = 3933^2 + 3534^2 .

It is not a de Polignac number, because 27957645 - 2¹⁸ = 27695501 is a prime.

It is a super-3 number, since 3×27957645³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27957645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27957647) 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 35 ways as a sum of consecutive naturals, for example, 15385 + ... + 17105.

It is an arithmetic number, because the mean of its divisors is an integer number (1421511).

Almost surely, 2^27957645 is an apocalyptic number.

It is an amenable number.

27957645 is a deficient number, since it is larger than the sum of its proper divisors (23216751).

27957645 is a wasteful number, since it uses less digits than its factorization.

27957645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1748 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 27957645 is about 5287.4989361701. The cubic root of 27957645 is about 303.5057071502.

It can be divided in two parts, 2795 and 7645, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 27957645 in words is "twenty-seven million, nine hundred fifty-seven thousand, six hundred forty-five".