7484 has 6 divisors (see below), whose sum is σ = 13104. Its totient is φ = 3740.

The previous prime is 7481. The next prime is 7487. The reversal of 7484 is 4847.

7484 = T₁₂ + T₁₃ + ... + T₃₅.

7484 = 27² + 28² + ... + 34².

It is an interprime number because it is at equal distance from previous prime (7481) and next prime (7487).

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 932 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2⁷⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

7484 is a deficient number, since it is larger than the sum of its proper divisors (5620).

7484 is a wasteful number, since it uses less digits than its factorization.

7484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 7484 is about 86.5101150155. The cubic root of 7484 is about 19.5604087664.

It can be divided in two parts, 748 and 4, that multiplied together give a palindrome (2992).

The spelling of 7484 in words is "seven thousand, four hundred eighty-four".