314122000 has 40 divisors (see below), whose sum is σ = 759551832. Its totient is φ = 125648000.

The previous prime is 314121967. The next prime is 314122021. The reversal of 314122000 is 221413.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 313006864 = 1056^2 + 17692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 76531 + ... + 80530.

Almost surely, 2^314122000 is an apocalyptic number.

It is an amenable number.

314122000 is an abundant number, since it is smaller than the sum of its proper divisors (445429832).

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

314122000 is a wasteful number, since it uses less digits than its factorization.

314122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157084 (or 157068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 314122000 is about 17723.4872415109. The cubic root of 314122000 is about 679.7764547775.

Adding to 314122000 its reverse (221413), we get a palindrome (314343413).

The spelling of 314122000 in words is "three hundred fourteen million, one hundred twenty-two thousand".