53773 has 2 divisors, whose sum is σ = 53774. Its totient is φ = 53772.

The previous prime is 53759. The next prime is 53777. The reversal of 53773 is 37735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 4489 = 222^2 + 67^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-53773 is a prime.

53773 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26886 + 26887.

It is an arithmetic number, because the mean of its divisors is an integer number (26887).

2⁵³⁷⁷³ is an apocalyptic number.

It is an amenable number.

53773 is a deficient number, since it is larger than the sum of its proper divisors (1).

53773 is an equidigital number, since it uses as much as digits as its factorization.

53773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2205, while the sum is 25.

The square root of 53773 is about 231.8900601578. The cubic root of 53773 is about 37.7445937611.

The spelling of 53773 in words is "fifty-three thousand, seven hundred seventy-three".