55773 has 6 divisors (see below), whose sum is σ = 80574. Its totient is φ = 37176.

The previous prime is 55763. The next prime is 55787. The reversal of 55773 is 37755.

Added to its reverse (37755) it gives a triangular number (93528 = T₄₃₂).

It can be written as a sum of positive squares in only one way, i.e., 45369 + 10404 = 213^2 + 102^2 .

It is not a de Polignac number, because 55773 - 2¹³ = 47581 is a prime.

It is a super-2 number, since 2×55773² = 6221255058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55733) 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 5 ways as a sum of consecutive naturals, for example, 3090 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (13429).

2⁵⁵⁷⁷³ is an apocalyptic number.

It is an amenable number.

55773 is a deficient number, since it is larger than the sum of its proper divisors (24801).

55773 is a wasteful number, since it uses less digits than its factorization.

55773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6200 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 55773 is about 236.1630792482. The cubic root of 55773 is about 38.2068589604.

Adding to 55773 its reverse (37755), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 557 and 73, that added together give a triangular number (630 = T₃₅).

The spelling of 55773 in words is "fifty-five thousand, seven hundred seventy-three".