61614 has 32 divisors (see below), whose sum is σ = 157440. Its totient is φ = 17496.

The previous prime is 61613. The next prime is 61627. The reversal of 61614 is 41616.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a congruent number.

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, 297 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (4920).

2⁶¹⁶¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78720).

61614 is an abundant number, since it is smaller than the sum of its proper divisors (95826).

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

61614 is a wasteful number, since it uses less digits than its factorization.

61614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 61614 is about 248.2216751213. The cubic root of 61614 is about 39.4966081583.

It can be divided in two parts, 616 and 14, that added together give a triangular number (630 = T₃₅).

The spelling of 61614 in words is "sixty-one thousand, six hundred fourteen".