61659 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 34560.

The previous prime is 61657. The next prime is 61667. The reversal of 61659 is 95616.

61659 is a `hidden beast` number, since 6 + 1 + 659 = 666.

It is not a de Polignac number, because 61659 - 2¹ = 61657 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61659.

It is not an unprimeable number, because it can be changed into a prime (61651) 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, 1974 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁶¹⁶⁵⁹ is an apocalyptic number.

61659 is a deficient number, since it is larger than the sum of its proper divisors (43173).

61659 is a wasteful number, since it uses less digits than its factorization.

61659 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 61659 is about 248.3123033601. The cubic root of 61659 is about 39.5062213135.

The spelling of 61659 in words is "sixty-one thousand, six hundred fifty-nine".