10021564 has 12 divisors (see below), whose sum is σ = 20043184. Its totient is φ = 4294944.

The previous prime is 10021549. The next prime is 10021567. The reversal of 10021564 is 46512001.

10021564 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178929 + ... + 178984.

Almost surely, 2^10021564 is an apocalyptic number.

10021564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10021564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10021564 is a wasteful number, since it uses less digits than its factorization.

10021564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357924 (or 357922 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10021564 is about 3165.6853918228. The cubic root of 10021564 is about 215.5982185880.

Adding to 10021564 its reverse (46512001), we get a palindrome (56533565).

It can be divided in two parts, 10021 and 564, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 10021564 in words is "ten million, twenty-one thousand, five hundred sixty-four".