313797120 has 320 divisors, whose sum is σ = 1237420800. Its totient is φ = 66060288.

The previous prime is 313797109. The next prime is 313797131. The reversal of 313797120 is 21797313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313797109) and next prime (313797131).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698656 + ... + 699104.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^313797120 is an apocalyptic number.

313797120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

313797120 is an abundant number, since it is smaller than the sum of its proper divisors (923623680).

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

313797120 is a wasteful number, since it uses less digits than its factorization.

313797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 313797120 is about 17714.3196313039. The cubic root of 313797120 is about 679.5420214949.

The spelling of 313797120 in words is "three hundred thirteen million, seven hundred ninety-seven thousand, one hundred twenty".