313362 has 32 divisors (see below), whose sum is σ = 796800. Its totient is φ = 89424.

The previous prime is 313351. The next prime is 313373. The reversal of 313362 is 263313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313351) and next prime (313373).

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.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313362.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (24900).

2³¹³³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398400).

313362 is an abundant number, since it is smaller than the sum of its proper divisors (483438).

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

313362 is a wasteful number, since it uses less digits than its factorization.

313362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 313362 is about 559.7874596666. The cubic root of 313362 is about 67.9227785451.

Adding to 313362 its reverse (263313), we get a palindrome (576675).

The spelling of 313362 in words is "three hundred thirteen thousand, three hundred sixty-two".