314973 has 12 divisors (see below), whose sum is σ = 461760. Its totient is φ = 206856.

The previous prime is 314957. The next prime is 314983. The reversal of 314973 is 379413.

It is not a de Polignac number, because 314973 - 2⁴ = 314957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (38480).

2³¹⁴⁹⁷³ is an apocalyptic number.

It is an amenable number.

314973 is a deficient number, since it is larger than the sum of its proper divisors (146787).

314973 is a wasteful number, since it uses less digits than its factorization.

314973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 314973 is about 561.2245539889. The cubic root of 314973 is about 68.0389770777.

The spelling of 314973 in words is "three hundred fourteen thousand, nine hundred seventy-three".