61609 has 2 divisors, whose sum is σ = 61610. Its totient is φ = 61608.

The previous prime is 61603. The next prime is 61613. The reversal of 61609 is 90616.

61609 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., 40000 + 21609 = 200^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 61609 - 2¹¹ = 59561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61609.

It is not a weakly prime, because it can be changed into another prime (61603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30804 + 30805.

It is an arithmetic number, because the mean of its divisors is an integer number (30805).

2⁶¹⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

61609 is a deficient number, since it is larger than the sum of its proper divisors (1).

61609 is an equidigital number, since it uses as much as digits as its factorization.

61609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 61609 is about 248.2116032743. The cubic root of 61609 is about 39.4955397410.

The spelling of 61609 in words is "sixty-one thousand, six hundred nine".