61663 has 8 divisors (see below), whose sum is σ = 73728. Its totient is φ = 50424.

The previous prime is 61657. The next prime is 61667. The reversal of 61663 is 36616.

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 61663 - 2⁵ = 61631 is a prime.

It is a Duffinian number.

61663 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (9216).

2⁶¹⁶⁶³ is an apocalyptic number.

61663 is a deficient number, since it is larger than the sum of its proper divisors (12065).

61663 is a wasteful number, since it uses less digits than its factorization.

61663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its digits is 648, while the sum is 22.

The square root of 61663 is about 248.3203576028. The cubic root of 61663 is about 39.5070755898.

The spelling of 61663 in words is "sixty-one thousand, six hundred sixty-three".