10314564 has 48 divisors (see below), whose sum is σ = 26634048. Its totient is φ = 3086208.

The previous prime is 10314553. The next prime is 10314581. The reversal of 10314564 is 46541301.

It is an unprimeable number.

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, 4879 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (554876).

Almost surely, 2^10314564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317024).

10314564 is an abundant number, since it is smaller than the sum of its proper divisors (16319484).

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

10314564 is a wasteful number, since it uses less digits than its factorization.

10314564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10314564 is about 3211.6294929521. The cubic root of 10314564 is about 217.6792128436.

Adding to 10314564 its reverse (46541301), we get a palindrome (56855865).

It can be divided in two parts, 10314 and 564, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10314564 in words is "ten million, three hundred fourteen thousand, five hundred sixty-four".