61713 has 6 divisors (see below), whose sum is σ = 89154. Its totient is φ = 41136.

The previous prime is 61703. The next prime is 61717. The reversal of 61713 is 31716.

61713 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 28224 = 183^2 + 168^2 .

It is not a de Polignac number, because 61713 - 2⁵ = 61681 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3420 + ... + 3437.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2⁶¹⁷¹³ is an apocalyptic number.

It is an amenable number.

61713 is a deficient number, since it is larger than the sum of its proper divisors (27441).

61713 is a wasteful number, since it uses less digits than its factorization.

61713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6860 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 61713 is about 248.4210136039. The cubic root of 61713 is about 39.5177509279.

It can be divided in two parts, 617 and 13, that added together give a triangular number (630 = T₃₅).

The spelling of 61713 in words is "sixty-one thousand, seven hundred thirteen".