627121409 has 2 divisors, whose sum is σ = 627121410. Its totient is φ = 627121408.

The previous prime is 627121343. The next prime is 627121441. The reversal of 627121409 is 904121726.

It is a happy number.

It is an a-pointer prime, because the next prime (627121441) can be obtained adding 627121409 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 579124225 + 47997184 = 24065^2 + 6928^2 .

It is a cyclic number.

It is not a de Polignac number, because 627121409 - 2⁸ = 627121153 is a prime.

It is a super-2 number, since 2×627121409² = 786562523252290562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (627121459) 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 as a sum of consecutive naturals, namely, 313560704 + 313560705.

It is an arithmetic number, because the mean of its divisors is an integer number (313560705).

Almost surely, 2^627121409 is an apocalyptic number.

It is an amenable number.

627121409 is a deficient number, since it is larger than the sum of its proper divisors (1).

627121409 is an equidigital number, since it uses as much as digits as its factorization.

627121409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 627121409 is about 25042.3922379632. The cubic root of 627121409 is about 855.9542298183.

The spelling of 627121409 in words is "six hundred twenty-seven million, one hundred twenty-one thousand, four hundred nine".