75533 has 2 divisors, whose sum is σ = 75534. Its totient is φ = 75532.

The previous prime is 75527. The next prime is 75539. The reversal of 75533 is 33557.

It is a balanced prime because it is at equal distance from previous prime (75527) and next prime (75539).

It can be written as a sum of positive squares in only one way, i.e., 68644 + 6889 = 262^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 75533 - 2⁸ = 75277 is a prime.

It is a super-3 number, since 3×75533³ = 1292800339333311, which contains 333 as substring.

It is a Chen prime.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 75499 and 75508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37766 + 37767.

It is an arithmetic number, because the mean of its divisors is an integer number (37767).

2⁷⁵⁵³³ is an apocalyptic number.

It is an amenable number.

75533 is a deficient number, since it is larger than the sum of its proper divisors (1).

75533 is an equidigital number, since it uses as much as digits as its factorization.

75533 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1575, while the sum is 23.

The square root of 75533 is about 274.8326763687. The cubic root of 75533 is about 42.2712974567.

The spelling of 75533 in words is "seventy-five thousand, five hundred thirty-three".