61005 has 24 divisors (see below), whose sum is σ = 114912. Its totient is φ = 27552.

The previous prime is 61001. The next prime is 61007. The reversal of 61005 is 50016.

It is not a de Polignac number, because 61005 - 2² = 61001 is a prime.

It is a super-2 number, since 2×61005² = 7443220050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁶¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

61005 is a deficient number, since it is larger than the sum of its proper divisors (53907).

61005 is a wasteful number, since it uses less digits than its factorization.

61005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 61005 is about 246.9919027013. The cubic root of 61005 is about 39.3660473473.

It can be divided in two parts, 6100 and 5, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 61005 in words is "sixty-one thousand, five".