7364 has 12 divisors (see below), whose sum is σ = 14784. Its totient is φ = 3144.

The previous prime is 7351. The next prime is 7369. The reversal of 7364 is 4637.

7364 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7369) by changing a digit.

7364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1232).

2⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

7364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392).

7364 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 7364 = (3476)₁₃.

7364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 7364 is about 85.8137518117. The cubic root of 7364 is about 19.4552997587.

The spelling of 7364 in words is "seven thousand, three hundred sixty-four".