61185 has 8 divisors (see below), whose sum is σ = 97920. Its totient is φ = 32624.

The previous prime is 61169. The next prime is 61211. The reversal of 61185 is 58116.

61185 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 61185 - 2⁴ = 61169 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61185.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

It is a Proth number, since it is equal to 239 ⋅ 2⁸ + 1 and 239 < 2⁸.

2⁶¹¹⁸⁵ is an apocalyptic number.

It is an amenable number.

61185 is a deficient number, since it is larger than the sum of its proper divisors (36735).

61185 is a wasteful number, since it uses less digits than its factorization.

61185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087.

The product of its digits is 240, while the sum is 21.

The square root of 61185 is about 247.3560187260. The cubic root of 61185 is about 39.4047268587.

Adding to 61185 its product of digits (240), we get a triangular number (61425 = T₃₅₀).

It can be divided in two parts, 611 and 85, that added together give a palindrome (696).

The spelling of 61185 in words is "sixty-one thousand, one hundred eighty-five".