313173672 has 64 divisors (see below), whose sum is σ = 901286400. Its totient is φ = 88827840.

The previous prime is 313173671. The next prime is 313173673. The reversal of 313173672 is 276371313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313173671) and next prime (313173673).

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

It is not an unprimeable number, because it can be changed into a prime (313173671) 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 15 ways as a sum of consecutive naturals, for example, 16647 + ... + 30057.

It is an arithmetic number, because the mean of its divisors is an integer number (14082600).

Almost surely, 2^313173672 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 313173672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450643200).

313173672 is an abundant number, since it is smaller than the sum of its proper divisors (588112728).

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

313173672 is a wasteful number, since it uses less digits than its factorization.

313173672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566 (or 13562 counting only the distinct ones).

The product of its digits is 15876, while the sum is 33.

The square root of 313173672 is about 17696.7135932071. The cubic root of 313173672 is about 679.0916880674.

The spelling of 313173672 in words is "three hundred thirteen million, one hundred seventy-three thousand, six hundred seventy-two".