7261 has 4 divisors (see below), whose sum is σ = 7452. Its totient is φ = 7072.

The previous prime is 7253. The next prime is 7283. The reversal of 7261 is 1627.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 2500 = 69^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 7261 - 2³ = 7253 is a prime.

It is a pancake number, because a pancake can be divided into 7261 parts by 120 straight cuts.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 121.

It is an arithmetic number, because the mean of its divisors is an integer number (1863).

2⁷²⁶¹ is an apocalyptic number.

It is an amenable number.

7261 is a deficient number, since it is larger than the sum of its proper divisors (191).

7261 is a wasteful number, since it uses less digits than its factorization.

7261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its digits is 84, while the sum is 16.

The square root of 7261 is about 85.2115015711. The cubic root of 7261 is about 19.3641666805.

Adding to 7261 its reverse (1627), we get a palindrome (8888).

It can be divided in two parts, 726 and 1, that added together give a palindrome (727).

The spelling of 7261 in words is "seven thousand, two hundred sixty-one".