61006 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 26680.

The previous prime is 61001. The next prime is 61007. The reversal of 61006 is 60016.

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 7 ways as a sum of consecutive naturals, for example, 1005 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁶¹⁰⁰⁶ is an apocalyptic number.

61006 is a deficient number, since it is larger than the sum of its proper divisors (42674).

61006 is a wasteful number, since it uses less digits than its factorization.

61006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 61006 is about 246.9939270508. The cubic root of 61006 is about 39.3662624435.

Subtracting from 61006 its reverse (60016), we obtain a triangular number (990 = T₄₄).

The spelling of 61006 in words is "sixty-one thousand, six".