53777 has 2 divisors, whose sum is σ = 53778. Its totient is φ = 53776.

The previous prime is 53773. The next prime is 53783. The reversal of 53777 is 77735.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 22801 = 176^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 53777 - 2² = 53773 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26888 + 26889.

It is an arithmetic number, because the mean of its divisors is an integer number (26889).

2⁵³⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

53777 is a deficient number, since it is larger than the sum of its proper divisors (1).

53777 is an equidigital number, since it uses as much as digits as its factorization.

53777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5145, while the sum is 29.

The square root of 53777 is about 231.8986847742. The cubic root of 53777 is about 37.7455296374.

The spelling of 53777 in words is "fifty-three thousand, seven hundred seventy-seven".