101564497 has 2 divisors, whose sum is σ = 101564498. Its totient is φ = 101564496.

The previous prime is 101564479. The next prime is 101564531. The reversal of 101564497 is 794465101.

Together with previous prime (101564479) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71927361 + 29637136 = 8481^2 + 5444^2 .

It is an emirp because it is prime and its reverse (794465101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101564497 - 2¹⁹ = 101040209 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101564417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50782248 + 50782249.

It is an arithmetic number, because the mean of its divisors is an integer number (50782249).

Almost surely, 2^101564497 is an apocalyptic number.

It is an amenable number.

101564497 is a deficient number, since it is larger than the sum of its proper divisors (1).

101564497 is an equidigital number, since it uses as much as digits as its factorization.

101564497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 101564497 is about 10077.9212638321. The cubic root of 101564497 is about 466.5669525615.

The spelling of 101564497 in words is "one hundred one million, five hundred sixty-four thousand, four hundred ninety-seven".