61314 has 16 divisors (see below), whose sum is σ = 133920. Its totient is φ = 18560.

The previous prime is 61297. The next prime is 61331. The reversal of 61314 is 41316.

It is an interprime number because it is at equal distance from previous prime (61297) and next prime (61331).

It is a junction number, because it is equal to n+sod(n) for n = 61293 and 61302.

It is an unprimeable number.

61314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2⁶¹³¹⁴ is an apocalyptic number.

61314 is an abundant number, since it is smaller than the sum of its proper divisors (72606).

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 (66960).

61314 is a wasteful number, since it uses less digits than its factorization.

61314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945.

The product of its digits is 72, while the sum is 15.

The square root of 61314 is about 247.6166391824. The cubic root of 61314 is about 39.4324005343.

The spelling of 61314 in words is "sixty-one thousand, three hundred fourteen".