64314 has 20 divisors (see below), whose sum is σ = 144474. Its totient is φ = 21384.

The previous prime is 64303. The next prime is 64319. The reversal of 64314 is 41346.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 13689 = 225^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64314.

It is not an unprimeable number, because it can be changed into a prime (64319) by changing a digit.

64314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 37 + ... + 360.

2⁶⁴³¹⁴ is an apocalyptic number.

64314 is an abundant number, since it is smaller than the sum of its proper divisors (80160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64314 is a wasteful number, since it uses less digits than its factorization.

64314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 64314 is about 253.6020504649. The cubic root of 64314 is about 40.0653099738.

It can be divided in two parts, 64 and 314, that added together give a triangular number (378 = T₂₇).

The spelling of 64314 in words is "sixty-four thousand, three hundred fourteen".