54517761 has 24 divisors (see below), whose sum is σ = 82428840. Its totient is φ = 34684416.

The previous prime is 54517753. The next prime is 54517777. The reversal of 54517761 is 16771545.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 16769025 = 6144^2 + 4095^2 .

It is not a de Polignac number, because 54517761 - 2³ = 54517753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54517721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16105 + ... + 19193.

It is an arithmetic number, because the mean of its divisors is an integer number (3434535).

It is a Proth number, since it is equal to 6655 ⋅ 2¹³ + 1 and 6655 < 2¹³.

Almost surely, 2^54517761 is an apocalyptic number.

It is an amenable number.

54517761 is a deficient number, since it is larger than the sum of its proper divisors (27911079).

54517761 is a wasteful number, since it uses less digits than its factorization.

54517761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3182 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 54517761 is about 7383.6143588354. The cubic root of 54517761 is about 379.1805077640.

It can be divided in two parts, 54517 and 761, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54517761 in words is "fifty-four million, five hundred seventeen thousand, seven hundred sixty-one".