64971 has 6 divisors (see below), whose sum is σ = 93860. Its totient is φ = 43308.

The previous prime is 64969. The next prime is 64997. The reversal of 64971 is 17946.

It is not a de Polignac number, because 64971 - 2¹ = 64969 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3601 + ... + 3618.

2⁶⁴⁹⁷¹ is an apocalyptic number.

64971 is a deficient number, since it is larger than the sum of its proper divisors (28889).

64971 is a wasteful number, since it uses less digits than its factorization.

64971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7222 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 64971 is about 254.8940956554. The cubic root of 64971 is about 40.2012771555.

It can be divided in two parts, 64 and 971, that added together give a triangular number (1035 = T₄₅).

The spelling of 64971 in words is "sixty-four thousand, nine hundred seventy-one".