314431 has 12 divisors (see below), whose sum is σ = 362712. Its totient is φ = 270864.

The previous prime is 314423. The next prime is 314441. The reversal of 314431 is 134413.

It is a Cunningham number, because it is equal to 68³-1.

It is not a de Polignac number, because 314431 - 2³ = 314423 is a prime.

It is a super-2 number, since 2×314431² = 197733707522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314401) 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, 4660 + ... + 4726.

It is an arithmetic number, because the mean of its divisors is an integer number (30226).

314431 is a Friedman number, since it can be written as (4+4^3)^3-1*1, using all its digits and the basic arithmetic operations.

2³¹⁴⁴³¹ is an apocalyptic number.

314431 is a deficient number, since it is larger than the sum of its proper divisors (48281).

314431 is a wasteful number, since it uses less digits than its factorization.

314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 314431 is about 560.7414734082. The cubic root of 314431 is about 67.9999279123. Note that the first 4 decimals are identical.

Adding to 314431 its reverse (134413), we get a palindrome (448844).

The spelling of 314431 in words is "three hundred fourteen thousand, four hundred thirty-one".