321313248 has 72 divisors (see below), whose sum is σ = 915832008. Its totient is φ = 106858752.

The previous prime is 321313241. The next prime is 321313253. The reversal of 321313248 is 842313123.

321313248 is a `hidden beast` number, since 321 + 313 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321313241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159415 + ... + 161417.

It is an arithmetic number, because the mean of its divisors is an integer number (12719889).

Almost surely, 2^321313248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457916004).

321313248 is an abundant number, since it is smaller than the sum of its proper divisors (594518760).

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

321313248 is a wasteful number, since it uses less digits than its factorization.

321313248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2565 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 321313248 is about 17925.2126347221. The cubic root of 321313248 is about 684.9247776457.

It can be divided in two parts, 3213 and 13248, that added together give a palindrome (16461).

The spelling of 321313248 in words is "three hundred twenty-one million, three hundred thirteen thousand, two hundred forty-eight".