75653 has 2 divisors, whose sum is σ = 75654. Its totient is φ = 75652.

The previous prime is 75641. The next prime is 75659. The reversal of 75653 is 35657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66049 + 9604 = 257^2 + 98^2 .

75653 is a truncatable prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75653 is a prime.

It is a Chen prime.

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75653.

It is not a weakly prime, because it can be changed into another prime (75659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37826 + 37827.

It is an arithmetic number, because the mean of its divisors is an integer number (37827).

2⁷⁵⁶⁵³ is an apocalyptic number.

It is an amenable number.

75653 is a deficient number, since it is larger than the sum of its proper divisors (1).

75653 is an equidigital number, since it uses as much as digits as its factorization.

75653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3150, while the sum is 26.

The square root of 75653 is about 275.0509043795. The cubic root of 75653 is about 42.2936712173.

The spelling of 75653 in words is "seventy-five thousand, six hundred fifty-three".