71353 has 2 divisors, whose sum is σ = 71354. Its totient is φ = 71352.

The previous prime is 71347. The next prime is 71359. The reversal of 71353 is 35317.

It is a balanced prime because it is at equal distance from previous prime (71347) and next prime (71359).

It can be written as a sum of positive squares in only one way, i.e., 71289 + 64 = 267^2 + 8^2 .

It is an emirp because it is prime and its reverse (35317) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71353 - 2⁹ = 70841 is a prime.

It is equal to p₇₀₆₆ and since 71353 and 7066 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71353.

It is not a weakly prime, because it can be changed into another prime (71359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35676 + 35677.

It is an arithmetic number, because the mean of its divisors is an integer number (35677).

2⁷¹³⁵³ is an apocalyptic number.

It is an amenable number.

71353 is a deficient number, since it is larger than the sum of its proper divisors (1).

71353 is an equidigital number, since it uses as much as digits as its factorization.

71353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 19.

The square root of 71353 is about 267.1198233003. The cubic root of 71353 is about 41.4766888970.

It can be divided in two parts, 71 and 353, that added together give a palindrome (424).

The spelling of 71353 in words is "seventy-one thousand, three hundred fifty-three".