7105563 has 30 divisors (see below), whose sum is σ = 11248644. Its totient is φ = 4487724.

The previous prime is 7105529. The next prime is 7105573. The reversal of 7105563 is 3655017.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7105563 is nontrivially palindromic in base 8.

7105563 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7105563 - 2⁶ = 7105499 is a prime.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7105513) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 373968 + ... + 373986.

Almost surely, 2^7105563 is an apocalyptic number.

7105563 is a deficient number, since it is larger than the sum of its proper divisors (4143081).

7105563 is an frugal number, since it uses more digits than its factorization.

7105563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 7105563 is about 2665.6261928485. The cubic root of 7105563 is about 192.2499186904.

Multiplying 7105563 by its sum of digits (27), we get a square (191850201 = 13851²).

7105563 divided by its sum of digits (27) gives a square (263169 = 513²).

It can be divided in two parts, 7 and 105563, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 7105563 in words is "seven million, one hundred five thousand, five hundred sixty-three".