314980 has 12 divisors (see below), whose sum is σ = 661500. Its totient is φ = 125984.

The previous prime is 314957. The next prime is 314983. The reversal of 314980 is 89413.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 268324 = 216^2 + 518^2 .

It is not an unprimeable number, because it can be changed into a prime (314983) by changing a digit.

314980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7855 + ... + 7894.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2³¹⁴⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

314980 is an abundant number, since it is smaller than the sum of its proper divisors (346520).

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

314980 is a wasteful number, since it uses less digits than its factorization.

314980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15758 (or 15756 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 314980 is about 561.2307903171. The cubic root of 314980 is about 68.0394811096.

Adding to 314980 its product of nonzero digits (864), we get a square (315844 = 562²).

It can be divided in two parts, 314 and 980, that multiplied together give a triangular number (307720 = T₇₈₄).

The spelling of 314980 in words is "three hundred fourteen thousand, nine hundred eighty".