102653137 has 2 divisors, whose sum is σ = 102653138. Its totient is φ = 102653136.

The previous prime is 102653113. The next prime is 102653167. The reversal of 102653137 is 731356201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 12327121 = 9504^2 + 3511^2 .

It is a cyclic number.

It is not a de Polignac number, because 102653137 - 2⁷ = 102653009 is a prime.

It is not a weakly prime, because it can be changed into another prime (102653107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51326568 + 51326569.

It is an arithmetic number, because the mean of its divisors is an integer number (51326569).

Almost surely, 2^102653137 is an apocalyptic number.

It is an amenable number.

102653137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102653137 is an equidigital number, since it uses as much as digits as its factorization.

102653137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 102653137 is about 10131.7884403495. The cubic root of 102653137 is about 468.2280297799.

The spelling of 102653137 in words is "one hundred two million, six hundred fifty-three thousand, one hundred thirty-seven".