921564 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 247104.

The previous prime is 921563. The next prime is 921581. The reversal of 921564 is 465129.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 921564.

It is not an unprimeable number, because it can be changed into a prime (921563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17362 + ... + 17414.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁹²¹⁵⁶⁴ 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 921564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

921564 is an abundant number, since it is smaller than the sum of its proper divisors (1981476).

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

921564 is a wasteful number, since it uses less digits than its factorization.

921564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 921564 is about 959.9812498169. The cubic root of 921564 is about 97.3139647873.

It can be divided in two parts, 921 and 564, that added together give a triangular number (1485 = T₅₄).

The spelling of 921564 in words is "nine hundred twenty-one thousand, five hundred sixty-four".