55693 has 8 divisors (see below), whose sum is σ = 62496. Its totient is φ = 49200.

The previous prime is 55691. The next prime is 55697. The reversal of 55693 is 39655.

It is a happy number.

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 55693 - 2¹ = 55691 is a prime.

It is a Duffinian number.

55693 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55691) 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, 630 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁵⁵⁶⁹³ is an apocalyptic number.

It is an amenable number.

55693 is a deficient number, since it is larger than the sum of its proper divisors (6803).

55693 is a wasteful number, since it uses less digits than its factorization.

55693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its digits is 4050, while the sum is 28.

The square root of 55693 is about 235.9936439822. The cubic root of 55693 is about 38.1885824270.

The spelling of 55693 in words is "fifty-five thousand, six hundred ninety-three".