313215 has 32 divisors (see below), whose sum is σ = 606720. Its totient is φ = 134784.

The previous prime is 313211. The next prime is 313219. The reversal of 313215 is 512313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313211) and next prime (313219).

It is not a de Polignac number, because 313215 - 2² = 313211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

313215 is an undulating number in base 12.

313215 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 313194 and 313203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313215.

It is not an unprimeable number, because it can be changed into a prime (313211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (18960).

2³¹³²¹⁵ is an apocalyptic number.

313215 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

313215 is a deficient number, since it is larger than the sum of its proper divisors (293505).

313215 is a wasteful number, since it uses less digits than its factorization.

313215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 90, while the sum is 15.

The square root of 313215 is about 559.6561444316. The cubic root of 313215 is about 67.9121558891.

Adding to 313215 its reverse (512313), we get a palindrome (825528).

It can be divided in two parts, 313 and 215, that added together give a triangular number (528 = T₃₂).

The spelling of 313215 in words is "three hundred thirteen thousand, two hundred fifteen".