61617 has 16 divisors (see below), whose sum is σ = 92160. Its totient is φ = 36432.

The previous prime is 61613. The next prime is 61627. The reversal of 61617 is 71616.

61617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61617 - 2² = 61613 is a prime.

61617 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 61593 and 61602.

It is not an unprimeable number, because it can be changed into a prime (61613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁶¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

61617 is a deficient number, since it is larger than the sum of its proper divisors (30543).

61617 is a wasteful number, since it uses less digits than its factorization.

61617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

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

The square root of 61617 is about 248.2277180333. The cubic root of 61617 is about 39.4972491809.

Subtracting 61617 from its reverse (71616), we obtain a palindrome (9999).

The spelling of 61617 in words is "sixty-one thousand, six hundred seventeen".