314145689 has 16 divisors (see below), whose sum is σ = 369567744. Its totient is φ = 263260800.

The previous prime is 314145673. The next prime is 314145691. The reversal of 314145689 is 986541413.

It is not a de Polignac number, because 314145689 - 2⁴ = 314145673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314145619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188072 + ... + 189734.

It is an arithmetic number, because the mean of its divisors is an integer number (23097984).

Almost surely, 2^314145689 is an apocalyptic number.

It is an amenable number.

314145689 is a deficient number, since it is larger than the sum of its proper divisors (55422055).

314145689 is a wasteful number, since it uses less digits than its factorization.

314145689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008.

The product of its digits is 103680, while the sum is 41.

The square root of 314145689 is about 17724.1555229015. The cubic root of 314145689 is about 679.7935424267.

The spelling of 314145689 in words is "three hundred fourteen million, one hundred forty-five thousand, six hundred eighty-nine".