75553 has 2 divisors, whose sum is σ = 75554. Its totient is φ = 75552.

The previous prime is 75541. The next prime is 75557. The reversal of 75553 is 35557.

It is a happy number.

75553 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 1024 = 273^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 75553 - 2⁵ = 75521 is a prime.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is not a weakly prime, because it can be changed into another prime (75557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37776 + 37777.

It is an arithmetic number, because the mean of its divisors is an integer number (37777).

2⁷⁵⁵⁵³ is an apocalyptic number.

It is an amenable number.

75553 is a deficient number, since it is larger than the sum of its proper divisors (1).

75553 is an equidigital number, since it uses as much as digits as its factorization.

75553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2625, while the sum is 25.

The square root of 75553 is about 274.8690597357. The cubic root of 75553 is about 42.2750280616.

It can be divided in two parts, 755 and 53, that added together give a palindrome (808).

The spelling of 75553 in words is "seventy-five thousand, five hundred fifty-three".