7565 has 8 divisors (see below), whose sum is σ = 9720. Its totient is φ = 5632.

The previous prime is 7561. The next prime is 7573. The reversal of 7565 is 5657.

7565 = 61² + 62².

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 6889 = 26^2 + 83^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7565 - 2² = 7561 is a prime.

It is a Curzon number.

It is a plaindrome in base 9 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 7565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

2⁷⁵⁶⁵ is an apocalyptic number.

7565 is the 62-nd centered square number.

It is an amenable number.

7565 is a deficient number, since it is larger than the sum of its proper divisors (2155).

7565 is a wasteful number, since it uses less digits than its factorization.

7565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its digits is 1050, while the sum is 23.

The square root of 7565 is about 86.9770084563. The cubic root of 7565 is about 19.6307237149.

The spelling of 7565 in words is "seven thousand, five hundred sixty-five".