61735561 has 2 divisors, whose sum is σ = 61735562. Its totient is φ = 61735560.

The previous prime is 61735559. The next prime is 61735591. The reversal of 61735561 is 16553716.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58049161 + 3686400 = 7619^2 + 1920^2 .

It is a cyclic number.

It is not a de Polignac number, because 61735561 - 2¹ = 61735559 is a prime.

It is a super-2 number, since 2×61735561² = 7622558983969442, which contains 22 as substring.

Together with 61735559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (61735501) 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, 30867780 + 30867781.

It is an arithmetic number, because the mean of its divisors is an integer number (30867781).

Almost surely, 2^61735561 is an apocalyptic number.

It is an amenable number.

61735561 is a deficient number, since it is larger than the sum of its proper divisors (1).

61735561 is an equidigital number, since it uses as much as digits as its factorization.

61735561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 34.

The square root of 61735561 is about 7857.1980374686. The cubic root of 61735561 is about 395.2256596605.

The spelling of 61735561 in words is "sixty-one million, seven hundred thirty-five thousand, five hundred sixty-one".