61313 has 8 divisors (see below), whose sum is σ = 73920. Its totient is φ = 49680.

The previous prime is 61297. The next prime is 61331. The reversal of 61313 is 31316.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61313 - 2⁴ = 61297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61333) 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, 98 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁶¹³¹³ is an apocalyptic number.

It is an amenable number.

61313 is a deficient number, since it is larger than the sum of its proper divisors (12607).

61313 is a wasteful number, since it uses less digits than its factorization.

61313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487.

The product of its digits is 54, while the sum is 14.

The square root of 61313 is about 247.6146199238. The cubic root of 61313 is about 39.4321861590.

Adding to 61313 its reverse (31316), we get a palindrome (92629).

It can be divided in two parts, 613 and 13, that added together give a palindrome (626).

The spelling of 61313 in words is "sixty-one thousand, three hundred thirteen".