314167 has 8 divisors (see below), whose sum is σ = 369056. Its totient is φ = 261792.

The previous prime is 314161. The next prime is 314173. The reversal of 314167 is 761413.

It is an interprime number because it is at equal distance from previous prime (314161) and next prime (314173).

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

It is a cyclic number.

It is not a de Polignac number, because 314167 - 2³ = 314159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314161) 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, 348 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (46132).

2³¹⁴¹⁶⁷ is an apocalyptic number.

314167 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

314167 is a deficient number, since it is larger than the sum of its proper divisors (54889).

314167 is a wasteful number, since it uses less digits than its factorization.

314167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257.

The product of its digits is 504, while the sum is 22.

The square root of 314167 is about 560.5060213771. The cubic root of 314167 is about 67.9808914013.

It can be divided in two parts, 31416 and 7, that multiplied together give a palindrome (219912).

The spelling of 314167 in words is "three hundred fourteen thousand, one hundred sixty-seven".