64071 has 20 divisors (see below), whose sum is σ = 110352. Its totient is φ = 36288.

The previous prime is 64067. The next prime is 64081. The reversal of 64071 is 17046.

64071 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 64071 - 2² = 64067 is a prime.

It is an Ulam number.

64071 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64071.

It is not an unprimeable number, because it can be changed into a prime (64081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 511 + ... + 623.

2⁶⁴⁰⁷¹ is an apocalyptic number.

64071 is a deficient number, since it is larger than the sum of its proper divisors (46281).

64071 is a wasteful number, since it uses less digits than its factorization.

64071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 64071 is about 253.1224999877. The cubic root of 64071 is about 40.0147862002.

Subtracting from 64071 its product of nonzero digits (168), we obtain a triangular number (63903 = T₃₅₇).

The spelling of 64071 in words is "sixty-four thousand, seventy-one".