75353 has 2 divisors, whose sum is σ = 75354. Its totient is φ = 75352.

The previous prime is 75347. The next prime is 75367. The reversal of 75353 is 35357.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 1369 = 272^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 75353 - 2⁴ = 75337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75353.

It is not a weakly prime, because it can be changed into another prime (75323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37676 + 37677.

It is an arithmetic number, because the mean of its divisors is an integer number (37677).

2⁷⁵³⁵³ is an apocalyptic number.

It is an amenable number.

75353 is a deficient number, since it is larger than the sum of its proper divisors (1).

75353 is an equidigital number, since it uses as much as digits as its factorization.

75353 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 75353 is about 274.5050090618. The cubic root of 75353 is about 42.2376923407.

The spelling of 75353 in words is "seventy-five thousand, three hundred fifty-three".