505616 has 10 divisors (see below), whose sum is σ = 979662. Its totient is φ = 252800.

The previous prime is 505613. The next prime is 505619. The reversal of 505616 is 616505.

It is an interprime number because it is at equal distance from previous prime (505613) and next prime (505619).

It can be written as a sum of positive squares in only one way, i.e., 495616 + 10000 = 704^2 + 100^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 505591 and 505600.

It is not an unprimeable number, because it can be changed into a prime (505613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15785 + ... + 15816.

2⁵⁰⁵⁶¹⁶ is an apocalyptic number.

It is an amenable number.

505616 is a deficient number, since it is larger than the sum of its proper divisors (474046).

505616 is a wasteful number, since it uses less digits than its factorization.

505616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31609 (or 31603 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 505616 is about 711.0668041752. The cubic root of 505616 is about 79.6661083937. Note that the first 3 decimals are identical.

Subtracting 505616 from its reverse (616505), we obtain a square (110889 = 333²).

The spelling of 505616 in words is "five hundred five thousand, six hundred sixteen".