1564 has 12 divisors (see below), whose sum is σ = 3024. Its totient is φ = 704.

The previous prime is 1559. The next prime is 1567. The reversal of 1564 is 4651.

It is a plaindrome in base 5 and base 6.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 79.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

It is an amenable number.

1564 is a deficient number, since it is larger than the sum of its proper divisors (1460).

1564 is a wasteful number, since it uses less digits than its factorization.

1564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 42 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 1564 is about 39.5474398666. The cubic root of 1564 is about 11.6076841675.

Subtracting from 1564 its product of digits (120), we obtain a square (1444 = 38²).

It can be divided in two parts, 1 and 564, that added together give a palindrome (565).

The spelling of 1564 in words is "one thousand, five hundred sixty-four".