5416 has 8 divisors (see below), whose sum is σ = 10170. Its totient is φ = 2704.

The previous prime is 5413. The next prime is 5417. The reversal of 5416 is 6145.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 2500 = 54^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 5416.

It is not an unprimeable number, because it can be changed into a prime (5413) 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 as a sum of consecutive naturals, namely, 331 + ... + 346.

2⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

5416 is a deficient number, since it is larger than the sum of its proper divisors (4754).

5416 is a wasteful number, since it uses less digits than its factorization.

5416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 5416 is about 73.5934779719. The cubic root of 5416 is about 17.5614168563.

Subtracting 5416 from its reverse (6145), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 5 and 416, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 5416 in words is "five thousand, four hundred sixteen".