71005965 has 32 divisors (see below), whose sum is σ = 117891072. Its totient is φ = 36456000.

The previous prime is 71005939. The next prime is 71005967. The reversal of 71005965 is 56950017.

It is not a de Polignac number, because 71005965 - 2⁵ = 71005933 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 144370 + ... + 144860.

It is an arithmetic number, because the mean of its divisors is an integer number (3684096).

Almost surely, 2^71005965 is an apocalyptic number.

It is an amenable number.

71005965 is a deficient number, since it is larger than the sum of its proper divisors (46885107).

71005965 is a wasteful number, since it uses less digits than its factorization.

71005965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 71005965 is about 8426.5037233719. The cubic root of 71005965 is about 414.0933708513.

The spelling of 71005965 in words is "seventy-one million, five thousand, nine hundred sixty-five".