53761 has 4 divisors (see below), whose sum is σ = 55252. Its totient is φ = 52272.

The previous prime is 53759. The next prime is 53773. The reversal of 53761 is 16735.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16735 = 5 ⋅3347.

It can be written as a sum of positive squares in 2 ways, for example, as 50625 + 3136 = 225^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 53761 - 2¹ = 53759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (13813).

It is a Proth number, since it is equal to 105 ⋅ 2⁹ + 1 and 105 < 2⁹.

2⁵³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

53761 is a deficient number, since it is larger than the sum of its proper divisors (1491).

53761 is a wasteful number, since it uses less digits than its factorization.

53761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490.

The product of its digits is 630, while the sum is 22.

The square root of 53761 is about 231.8641843839. The cubic root of 53761 is about 37.7417858537.

The spelling of 53761 in words is "fifty-three thousand, seven hundred sixty-one".