61627009 has 2 divisors, whose sum is σ = 61627010. Its totient is φ = 61627008.

The previous prime is 61626997. The next prime is 61627043. The reversal of 61627009 is 90072616.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46881409 + 14745600 = 6847^2 + 3840^2 .

It is a cyclic number.

It is not a de Polignac number, because 61627009 - 2¹⁷ = 61495937 is a prime.

It is equal to p_3652825 and since 61627009 and 3652825 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (61627099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30813504 + 30813505.

It is an arithmetic number, because the mean of its divisors is an integer number (30813505).

Almost surely, 2^61627009 is an apocalyptic number.

It is an amenable number.

61627009 is a deficient number, since it is larger than the sum of its proper divisors (1).

61627009 is an equidigital number, since it uses as much as digits as its factorization.

61627009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 61627009 is about 7850.2871921988. The cubic root of 61627009 is about 394.9938769547.

The spelling of 61627009 in words is "sixty-one million, six hundred twenty-seven thousand, nine".