4616 has 8 divisors (see below), whose sum is σ = 8670. Its totient is φ = 2304.

The previous prime is 4603. The next prime is 4621. The reversal of 4616 is 6164.

It can be written as a sum of positive squares in only one way, i.e., 2500 + 2116 = 50^2 + 46^2 .

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4594 and 4603.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 281 + ... + 296.

2^{4616} is an apocalyptic number.

It is an amenable number.

4616 is a deficient number, since it is larger than the sum of its proper divisors (4054).

4616 is a wasteful number, since it uses less digits than its factorization.

4616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 4616 is about 67.9411510059. The cubic root of 4616 is about 16.6502950346.

The spelling of 4616 in words is "four thousand, six hundred sixteen".

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