314967 has 8 divisors (see below), whose sum is σ = 426496. Its totient is φ = 206712.

The previous prime is 314957. The next prime is 314983. The reversal of 314967 is 769413.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 314967 - 2⁶ = 314903 is a prime.

It is a super-2 number, since 2×314967² = 198408422178, which contains 22 as substring.

It is a Duffinian number.

314967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314917) 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 7 ways as a sum of consecutive naturals, for example, 583 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (53312).

2³¹⁴⁹⁶⁷ is an apocalyptic number.

314967 is a deficient number, since it is larger than the sum of its proper divisors (111529).

314967 is a wasteful number, since it uses less digits than its factorization.

314967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637.

The product of its digits is 4536, while the sum is 30.

The square root of 314967 is about 561.2192085095. The cubic root of 314967 is about 68.0385450444.

The spelling of 314967 in words is "three hundred fourteen thousand, nine hundred sixty-seven".