313206000 has 80 divisors (see below), whose sum is σ = 1009795488. Its totient is φ = 83520000.

The previous prime is 313205993. The next prime is 313206029. The reversal of 313206000 is 602313.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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, 20101 + ... + 32100.

Almost surely, 2^313206000 is an apocalyptic number.

313206000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313206000 is an abundant number, since it is smaller than the sum of its proper divisors (696589488).

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

313206000 is a wasteful number, since it uses less digits than its factorization.

313206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52227 (or 52211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313206000 is about 17697.6269595672. The cubic root of 313206000 is about 679.1150541447.

Adding to 313206000 its reverse (602313), we get a palindrome (313808313).

The spelling of 313206000 in words is "three hundred thirteen million, two hundred six thousand".