313616 has 20 divisors (see below), whose sum is σ = 643932. Its totient is φ = 147456.

The previous prime is 313613. The next prime is 313619. The reversal of 313616 is 616313.

It is an interprime number because it is at equal distance from previous prime (313613) and next prime (313619).

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 67600 = 496^2 + 260^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313616.

It is not an unprimeable number, because it can be changed into a prime (313613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305 + ... + 848.

2³¹³⁶¹⁶ is an apocalyptic number.

It is an amenable number.

313616 is an abundant number, since it is smaller than the sum of its proper divisors (330316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313616 is a wasteful number, since it uses less digits than its factorization.

313616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 313616 is about 560.0142855321. The cubic root of 313616 is about 67.9411255117.

Adding to 313616 its reverse (616313), we get a palindrome (929929).

It can be divided in two parts, 3136 and 16, that multiplied together give a square (50176 = 224²).

The spelling of 313616 in words is "three hundred thirteen thousand, six hundred sixteen".