7573 has 2 divisors, whose sum is σ = 7574. Its totient is φ = 7572.

The previous prime is 7561. The next prime is 7577. The reversal of 7573 is 3757.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7569 + 4 = 87^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 7573 - 2⁵ = 7541 is a prime.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3786 + 3787.

It is an arithmetic number, because the mean of its divisors is an integer number (3787).

2⁷⁵⁷³ is an apocalyptic number.

It is an amenable number.

7573 is a deficient number, since it is larger than the sum of its proper divisors (1).

7573 is an equidigital number, since it uses as much as digits as its factorization.

7573 is an evil number, because the sum of its binary digits is even.

The product of its digits is 735, while the sum is 22.

The square root of 7573 is about 87.0229854694. The cubic root of 7573 is about 19.6376411180.

The spelling of 7573 in words is "seven thousand, five hundred seventy-three".