64014 has 16 divisors (see below), whose sum is σ = 131328. Its totient is φ = 20792.

The previous prime is 64013. The next prime is 64019. The reversal of 64014 is 41046.

64014 = 125² + 126² + ... + 128².

It is a junction number, because it is equal to n+sod(n) for n = 63984 and 64002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁶⁴⁰¹⁴ is an apocalyptic number.

64014 is an abundant number, since it is smaller than the sum of its proper divisors (67314).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664).

64014 is a wasteful number, since it uses less digits than its factorization.

64014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 64014 is about 253.0098812300. The cubic root of 64014 is about 40.0029164540.

The spelling of 64014 in words is "sixty-four thousand, fourteen".