313773000 has 128 divisors (see below), whose sum is σ = 1003242240. Its totient is φ = 81600000.

The previous prime is 313772999. The next prime is 313773007. The reversal of 313773000 is 377313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (313773007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121725 + ... + 124275.

It is an arithmetic number, because the mean of its divisors is an integer number (7837830).

Almost surely, 2^313773000 is an apocalyptic number.

313773000 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 313773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501621120).

313773000 is an abundant number, since it is smaller than the sum of its proper divisors (689469240).

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

313773000 is a wasteful number, since it uses less digits than its factorization.

313773000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 24.

The square root of 313773000 is about 17713.6388130728. The cubic root of 313773000 is about 679.5246100609.

The spelling of 313773000 in words is "three hundred thirteen million, seven hundred seventy-three thousand".