71005964 has 24 divisors (see below), whose sum is σ = 132652800. Its totient is φ = 33158160.

The previous prime is 71005939. The next prime is 71005967. The reversal of 71005964 is 46950017.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71005964.

It is not an unprimeable number, because it can be changed into a prime (71005967) 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, 1184 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (5527200).

Almost surely, 2^71005964 is an apocalyptic number.

It is an amenable number.

71005964 is a deficient number, since it is larger than the sum of its proper divisors (61646836).

71005964 is a wasteful number, since it uses less digits than its factorization.

71005964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13253 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 71005964 is about 8426.5036640353. The cubic root of 71005964 is about 414.0933689074.

The spelling of 71005964 in words is "seventy-one million, five thousand, nine hundred sixty-four".