102653 has 2 divisors, whose sum is σ = 102654. Its totient is φ = 102652.

The previous prime is 102647. The next prime is 102667. The reversal of 102653 is 356201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 11449 = 302^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 102653 - 2⁸ = 102397 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51326 + 51327.

It is an arithmetic number, because the mean of its divisors is an integer number (51327).

2¹⁰²⁶⁵³ is an apocalyptic number.

It is an amenable number.

102653 is a deficient number, since it is larger than the sum of its proper divisors (1).

102653 is an equidigital number, since it uses as much as digits as its factorization.

102653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 102653 is about 320.3950686262. The cubic root of 102653 is about 46.8227821482.

Adding to 102653 its reverse (356201), we get a palindrome (458854).

The spelling of 102653 in words is "one hundred two thousand, six hundred fifty-three".