71285417 has 16 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 59540928.

The previous prime is 71285377. The next prime is 71285419. The reversal of 71285417 is 71458217.

It is a cyclic number.

It is not a de Polignac number, because 71285417 - 2¹⁶ = 71219881 is a prime.

It is a super-2 number, since 2×71285417² = 10163221353727778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71285419) 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, 127703 + ... + 128259.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^71285417 is an apocalyptic number.

It is an amenable number.

71285417 is a deficient number, since it is larger than the sum of its proper divisors (12280663).

71285417 is a wasteful number, since it uses less digits than its factorization.

With its successor (71285418) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1000).

71285417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000.

The product of its digits is 15680, while the sum is 35.

The square root of 71285417 is about 8443.0691694431. The cubic root of 71285417 is about 414.6358968350.

The spelling of 71285417 in words is "seventy-one million, two hundred eighty-five thousand, four hundred seventeen".