71633 has 2 divisors, whose sum is σ = 71634. Its totient is φ = 71632.

The previous prime is 71597. The next prime is 71647. The reversal of 71633 is 33617.

71633 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 21904 = 223^2 + 148^2 .

It is an emirp because it is prime and its reverse (33617) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71633 - 2⁶ = 71569 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (71663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35816 + 35817.

It is an arithmetic number, because the mean of its divisors is an integer number (35817).

2⁷¹⁶³³ is an apocalyptic number.

It is an amenable number.

71633 is a deficient number, since it is larger than the sum of its proper divisors (1).

71633 is an equidigital number, since it uses as much as digits as its factorization.

71633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 20.

The square root of 71633 is about 267.6434194969. The cubic root of 71633 is about 41.5308716920.

The spelling of 71633 in words is "seventy-one thousand, six hundred thirty-three".