10713216 has 64 divisors (see below), whose sum is σ = 29718720. Its totient is φ = 3412992.

The previous prime is 10713203. The next prime is 10713221. The reversal of 10713216 is 61231701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10713216² = 229545994125312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10713192 and 10713201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8226 + ... + 9438.

It is an arithmetic number, because the mean of its divisors is an integer number (464355).

Almost surely, 2^10713216 is an apocalyptic number.

10713216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859360).

10713216 is an abundant number, since it is smaller than the sum of its proper divisors (19005504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10713216 is a wasteful number, since it uses less digits than its factorization.

10713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10713216 is about 3273.1049479050. The cubic root of 10713216 is about 220.4482321487.

Adding to 10713216 its reverse (61231701), we get a palindrome (71944917).

The spelling of 10713216 in words is "ten million, seven hundred thirteen thousand, two hundred sixteen".