61610 has 16 divisors (see below), whose sum is σ = 113832. Its totient is φ = 24000.

The previous prime is 61609. The next prime is 61613. The reversal of 61610 is 1616.

61610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48841 + 12769 = 221^2 + 113^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 4.

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 7 ways as a sum of consecutive naturals, for example, 560 + ... + 660.

2⁶¹⁶¹⁰ is an apocalyptic number.

61610 is a deficient number, since it is larger than the sum of its proper divisors (52222).

61610 is a wasteful number, since it uses less digits than its factorization.

61610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 61610 is about 248.2136176764. The cubic root of 61610 is about 39.4957534291.

It can be divided in two parts, 616 and 10, that added together give a palindrome (626).

The spelling of 61610 in words is "sixty-one thousand, six hundred ten".