55361 has 8 divisors (see below), whose sum is σ = 60480. Its totient is φ = 50512.

The previous prime is 55351. The next prime is 55373. The reversal of 55361 is 16355.

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 55361 - 2¹⁴ = 38977 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55361.

It is not an unprimeable number, because it can be changed into a prime (55331) 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, 626 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁵⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

55361 is a deficient number, since it is larger than the sum of its proper divisors (5119).

55361 is a wasteful number, since it uses less digits than its factorization.

55361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its digits is 450, while the sum is 20.

The square root of 55361 is about 235.2891837718. The cubic root of 55361 is about 38.1125472185.

It can be divided in two parts, 553 and 61, that multiplied together give a palindrome (33733).

The spelling of 55361 in words is "fifty-five thousand, three hundred sixty-one".