61305 has 16 divisors (see below), whose sum is σ = 101184. Its totient is φ = 31680.

The previous prime is 61297. The next prime is 61331. The reversal of 61305 is 50316.

It is not a de Polignac number, because 61305 - 2³ = 61297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

61305 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (6324).

2⁶¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

61305 is a deficient number, since it is larger than the sum of its proper divisors (39879).

61305 is a wasteful number, since it uses less digits than its factorization.

61305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 61305 is about 247.5984652618. The cubic root of 61305 is about 39.4304710730.

The spelling of 61305 in words is "sixty-one thousand, three hundred five".