83653 has 2 divisors, whose sum is σ = 83654. Its totient is φ = 83652.

The previous prime is 83641. The next prime is 83663. The reversal of 83653 is 35638.

83653 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., 42849 + 40804 = 207^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 83653 - 2⁵ = 83621 is a prime.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41826 + 41827.

It is an arithmetic number, because the mean of its divisors is an integer number (41827).

2⁸³⁶⁵³ is an apocalyptic number.

It is an amenable number.

83653 is a deficient number, since it is larger than the sum of its proper divisors (1).

83653 is an equidigital number, since it uses as much as digits as its factorization.

83653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 25.

The square root of 83653 is about 289.2282835409. The cubic root of 83653 is about 43.7348028850.

The spelling of 83653 in words is "eighty-three thousand, six hundred fifty-three".