61845 has 32 divisors (see below), whose sum is σ = 122880.
Its totient is φ = 25920.
The previous prime is 61843. The next prime is 61861. The reversal of 61845 is 54816.
61845 = T71 + T72 + ... +
It is not a de Polignac number, because 61845 - 21 = 61843 is a prime.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61845.
It is not an unprimeable number, because it can be changed into a prime (61843) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980 + ... + 2010.
It is an arithmetic number, because the mean of its divisors is an integer number (3840).
261845 is an apocalyptic number.
It is an amenable number.
61845 is a deficient number, since it is larger than the sum of its proper divisors (61035).
61845 is a wasteful number, since it uses less digits than its factorization.
61845 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65.
The product of its digits is 960, while the sum is 24.
The square root of 61845 is about 248.6865496966.
The cubic root of 61845 is about 39.5459061431.
The spelling of 61845 in words is "sixty-one thousand, eight hundred forty-five".