10314912 has 48 divisors (see below), whose sum is σ = 27306720. Its totient is φ = 3409152.

The previous prime is 10314901. The next prime is 10314943. The reversal of 10314912 is 21941301.

It is a tau number, because it is divible by the number of its divisors (48).

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, 12958 + ... + 13730.

It is an arithmetic number, because the mean of its divisors is an integer number (568890).

Almost surely, 2^10314912 is an apocalyptic number.

10314912 is a gapful number since it is divisible by the number (12) 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 10314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653360).

10314912 is an abundant number, since it is smaller than the sum of its proper divisors (16991808).

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

10314912 is a wasteful number, since it uses less digits than its factorization.

10314912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10314912 is about 3211.6836706002. The cubic root of 10314912 is about 217.6816608874.

The spelling of 10314912 in words is "ten million, three hundred fourteen thousand, nine hundred twelve".