27961313 has 2 divisors, whose sum is σ = 27961314. Its totient is φ = 27961312.

The previous prime is 27961279. The next prime is 27961321. The reversal of 27961313 is 31316972.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27699169 + 262144 = 5263^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 27961313 - 2¹⁴ = 27944929 is a prime.

It is a Sophie Germain prime.

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 27961313.

It is not a weakly prime, because it can be changed into another prime (27961333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13980656 + 13980657.

It is an arithmetic number, because the mean of its divisors is an integer number (13980657).

Almost surely, 2^27961313 is an apocalyptic number.

It is an amenable number.

27961313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27961313 is an equidigital number, since it uses as much as digits as its factorization.

27961313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804, while the sum is 32.

The square root of 27961313 is about 5287.8457806559. The cubic root of 27961313 is about 303.5189797304.

The spelling of 27961313 in words is "twenty-seven million, nine hundred sixty-one thousand, three hundred thirteen".