61017 has 12 divisors (see below), whose sum is σ = 90864. Its totient is φ = 36120.

The previous prime is 61007. The next prime is 61027. The reversal of 61017 is 71016.

It is an interprime number because it is at equal distance from previous prime (61007) and next prime (61027).

It is not a de Polignac number, because 61017 - 2⁴ = 61001 is a prime.

61017 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 60987 and 61005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61017.

It is not an unprimeable number, because it can be changed into a prime (61007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (7572).

2⁶¹⁰¹⁷ is an apocalyptic number.

It is an amenable number.

61017 is a deficient number, since it is larger than the sum of its proper divisors (29847).

61017 is a wasteful number, since it uses less digits than its factorization.

61017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 61017 is about 247.0161938011. The cubic root of 61017 is about 39.3686283467.

Subtracting 61017 from its reverse (71016), we obtain a palindrome (9999).

The spelling of 61017 in words is "sixty-one thousand, seventeen".