71413313 has 8 divisors (see below), whose sum is σ = 73045800. Its totient is φ = 69791488.

The previous prime is 71413301. The next prime is 71413319. The reversal of 71413313 is 31331417.

It can be written as a sum of positive squares in 4 ways, for example, as 3713329 + 67699984 = 1927^2 + 8228^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71413313 - 2¹⁶ = 71347777 is a prime.

It is a super-2 number, since 2×71413313² = 10199722547271938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71413319) 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, 11753 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (9130725).

Almost surely, 2^71413313 is an apocalyptic number.

It is an amenable number.

71413313 is a deficient number, since it is larger than the sum of its proper divisors (1632487).

71413313 is a wasteful number, since it uses less digits than its factorization.

71413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331.

The product of its digits is 756, while the sum is 23.

The square root of 71413313 is about 8450.6397982638. The cubic root of 71413313 is about 414.8837202651.

The spelling of 71413313 in words is "seventy-one million, four hundred thirteen thousand, three hundred thirteen".