313236 has 72 divisors (see below), whose sum is σ = 995904. Its totient is φ = 80640.

The previous prime is 313219. The next prime is 313241. The reversal of 313236 is 632313.

It is a happy number.

313236 is nontrivially palindromic in base 15.

313236 is a nontrivial binomial coefficient, being equal to C(792, 2).

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 a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

313236 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 23 ways as a sum of consecutive naturals, for example, 2716 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2³¹³²³⁶ is an apocalyptic number.

313236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

313236 is the 791-st triangular number and also the 396-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952).

313236 is an abundant number, since it is smaller than the sum of its proper divisors (682668).

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

313236 is a wasteful number, since it uses less digits than its factorization.

313236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

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

The square root of 313236 is about 559.6749056372. The cubic root of 313236 is about 67.9136736149.

Adding to 313236 its reverse (632313), we get a palindrome (945549).

It can be divided in two parts, 31323 and 6, that added together give a square (31329 = 177²).

The spelling of 313236 in words is "three hundred thirteen thousand, two hundred thirty-six".