71835413 has 16 divisors (see below), whose sum is σ = 79966656. Its totient is φ = 64108800.

The previous prime is 71835397. The next prime is 71835437. The reversal of 71835413 is 31453817.

It is a cyclic number.

It is not a de Polignac number, because 71835413 - 2⁴ = 71835397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71835413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71835493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59213 + ... + 60413.

It is an arithmetic number, because the mean of its divisors is an integer number (4997916).

Almost surely, 2^71835413 is an apocalyptic number.

It is an amenable number.

71835413 is a deficient number, since it is larger than the sum of its proper divisors (8131243).

71835413 is a wasteful number, since it uses less digits than its factorization.

71835413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its digits is 10080, while the sum is 32.

The square root of 71835413 is about 8475.5774434548. The cubic root of 71835413 is about 415.6995276156.

The spelling of 71835413 in words is "seventy-one million, eight hundred thirty-five thousand, four hundred thirteen".