61761609 has 112 divisors (see below), whose sum is σ = 122416000. Its totient is φ = 30862944.

The previous prime is 61761607. The next prime is 61761611. The reversal of 61761609 is 90616716.

61761609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61761607) and next prime (61761611).

It is not a de Polignac number, because 61761609 - 2¹ = 61761607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61761607) 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 in 111 ways as a sum of consecutive naturals, for example, 3250602 + ... + 3250620.

It is an arithmetic number, because the mean of its divisors is an integer number (1093000).

Almost surely, 2^61761609 is an apocalyptic number.

It is an amenable number.

61761609 is a deficient number, since it is larger than the sum of its proper divisors (60654391).

61761609 is an equidigital number, since it uses as much as digits as its factorization.

61761609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61761609 is about 7858.8554510183. The cubic root of 61761609 is about 395.2812375169.

It can be divided in two parts, 617 and 61609, that added together give a palindrome (62226).

The spelling of 61761609 in words is "sixty-one million, seven hundred sixty-one thousand, six hundred nine".