313416 has 32 divisors (see below), whose sum is σ = 871200. Its totient is φ = 104400.

The previous prime is 313409. The next prime is 313471. The reversal of 313416 is 614313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

313416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (27225).

2³¹³⁴¹⁶ is an apocalyptic number.

313416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313416 is an abundant number, since it is smaller than the sum of its proper divisors (557784).

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

313416 is a wasteful number, since it uses less digits than its factorization.

313416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1456 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 313416 is about 559.8356901806. The cubic root of 313416 is about 67.9266799109.

Adding to 313416 its reverse (614313), we get a palindrome (927729).

It can be divided in two parts, 313 and 416, that added together give a 6-th power (729 = 3⁶).

The spelling of 313416 in words is "three hundred thirteen thousand, four hundred sixteen".