27742257 has 10 divisors (see below), whose sum is σ = 41442258. Its totient is φ = 18494784.

The previous prime is 27742237. The next prime is 27742259. The reversal of 27742257 is 75224772.

It can be written as a sum of positive squares in only one way, i.e., 18974736 + 8767521 = 4356^2 + 2961^2 .

It is not a de Polignac number, because 27742257 - 2¹⁵ = 27709489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27742259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 171168 + ... + 171329.

Almost surely, 2^27742257 is an apocalyptic number.

27742257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

27742257 is a deficient number, since it is larger than the sum of its proper divisors (13700001).

27742257 is an equidigital number, since it uses as much as digits as its factorization.

27742257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342509 (or 342500 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 27742257 is about 5267.0918921166. The cubic root of 27742257 is about 302.7242860010.

The spelling of 27742257 in words is "twenty-seven million, seven hundred forty-two thousand, two hundred fifty-seven".