7546 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 2940.

The previous prime is 7541. The next prime is 7547. The reversal of 7546 is 6457.

7546 = 21² + 22² + ... + 31².

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (840) is a multiple of the sum of its prime divisors (20).

It is a plaindrome in base 12.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7541) 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, 681 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁷⁵⁴⁶ is an apocalyptic number.

7546 is a deficient number, since it is larger than the sum of its proper divisors (6854).

7546 is a wasteful number, since it uses less digits than its factorization.

7546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 20 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 7546 is about 86.8677155219. The cubic root of 7546 is about 19.6142753146.

7546 divided by its sum of digits (22) gives a palindrome (343).

Subtracting from 7546 its reverse (6457), we obtain a square (1089 = 33²).

It can be divided in two parts, 75 and 46, that added together give a palindrome (121).

The spelling of 7546 in words is "seven thousand, five hundred forty-six".