61516 has 24 divisors (see below), whose sum is σ = 133280. Its totient is φ = 24336.

The previous prime is 61511. The next prime is 61519.

61516 = T₁₆ + T₁₇ + ... + T₇₁.

61516 is nontrivially palindromic in base 10.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 61493 and 61502.

It is not an unprimeable number, because it can be changed into a prime (61511) 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, 4726 + ... + 4738.

2⁶¹⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66640).

61516 is an abundant number, since it is smaller than the sum of its proper divisors (71764).

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

61516 is a wasteful number, since it uses less digits than its factorization.

61516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 22 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 61516 is about 248.0241923684. The cubic root of 61516 is about 39.4756566344.

The spelling of 61516 in words is "sixty-one thousand, five hundred sixteen".