71001007 has 16 divisors (see below), whose sum is σ = 89079552. Its totient is φ = 54976320.

The previous prime is 71000999. The next prime is 71001017. The reversal of 71001007 is 70010017.

It is a happy number.

It is not a de Polignac number, because 71001007 - 2³ = 71000999 is a prime.

It is a super-2 number, since 2×71001007² = 10082285990028098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71001017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9723 + ... + 15379.

It is an arithmetic number, because the mean of its divisors is an integer number (5567472).

Almost surely, 2^71001007 is an apocalyptic number.

71001007 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

71001007 is a deficient number, since it is larger than the sum of its proper divisors (18078545).

71001007 is a wasteful number, since it uses less digits than its factorization.

71001007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 71001007 is about 8426.2095274210. The cubic root of 71001007 is about 414.0837325872.

The spelling of 71001007 in words is "seventy-one million, one thousand, seven".