61716 has 24 divisors (see below), whose sum is σ = 148960. Its totient is φ = 19872.

The previous prime is 61703. The next prime is 61717.

61716 is nontrivially palindromic in base 10.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 61692 and 61701.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 375 + ... + 513.

2⁶¹⁷¹⁶ is an apocalyptic number.

It is an amenable number.

61716 is an abundant number, since it is smaller than the sum of its proper divisors (87244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74480).

61716 is a wasteful number, since it uses less digits than its factorization.

61716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 61716 is about 248.4270516671. The cubic root of 61716 is about 39.5183912648.

It can be divided in two parts, 61 and 716, that added together give a palindrome (777).

The spelling of 61716 in words is "sixty-one thousand, seven hundred sixteen".