61613 has 2 divisors, whose sum is σ = 61614. Its totient is φ = 61612.

The previous prime is 61609. The next prime is 61627. The reversal of 61613 is 31616.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 29929 = 178^2 + 173^2 .

61613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 61613 - 2² = 61609 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 61591 and 61600.

It is a congruent number.

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, 30806 + 30807.

It is an arithmetic number, because the mean of its divisors is an integer number (30807).

2⁶¹⁶¹³ is an apocalyptic number.

It is an amenable number.

61613 is a deficient number, since it is larger than the sum of its proper divisors (1).

61613 is an equidigital number, since it uses as much as digits as its factorization.

61613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 61613 is about 248.2196607846. The cubic root of 61613 is about 39.4963944794.

It can be divided in two parts, 616 and 13, that multiplied together give a palindrome (8008).

The spelling of 61613 in words is "sixty-one thousand, six hundred thirteen".