61605101 has 2 divisors, whose sum is σ = 61605102. Its totient is φ = 61605100.

The previous prime is 61605031. The next prime is 61605113. The reversal of 61605101 is 10150616.

It is a happy number.

61605101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46936201 + 14668900 = 6851^2 + 3830^2 .

It is a cyclic number.

It is not a de Polignac number, because 61605101 - 2¹⁴ = 61588717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61625101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30802550 + 30802551.

It is an arithmetic number, because the mean of its divisors is an integer number (30802551).

Almost surely, 2^61605101 is an apocalyptic number.

It is an amenable number.

61605101 is a deficient number, since it is larger than the sum of its proper divisors (1).

61605101 is an equidigital number, since it uses as much as digits as its factorization.

61605101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 61605101 is about 7848.8917052027. The cubic root of 61605101 is about 394.9470654910.

Adding to 61605101 its reverse (10150616), we get a palindrome (71755717).

The spelling of 61605101 in words is "sixty-one million, six hundred five thousand, one hundred one".