7361 has 4 divisors (see below), whose sum is σ = 7812. Its totient is φ = 6912.

The previous prime is 7351. The next prime is 7369. The reversal of 7361 is 1637.

7361 is nontrivially palindromic in base 16.

7361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 3136 + 4225 = 56^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 7361 - 2⁶ = 7297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 433 = 7361 / (7 + 3 + 6 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7369) 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, 200 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

7361 is a deficient number, since it is larger than the sum of its proper divisors (451).

7361 is a wasteful number, since it uses less digits than its factorization.

7361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450.

The product of its digits is 126, while the sum is 17.

The square root of 7361 is about 85.7962703152. The cubic root of 7361 is about 19.4526574526.

Adding to 7361 its reverse (1637), we get a palindrome (8998).

It can be divided in two parts, 736 and 1, that added together give a palindrome (737).

The spelling of 7361 in words is "seven thousand, three hundred sixty-one".