8415101 has 2 divisors, whose sum is σ = 8415102. Its totient is φ = 8415100.

The previous prime is 8415091. The next prime is 8415103. The reversal of 8415101 is 1015148.

8415101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8352100 + 63001 = 2890^2 + 251^2 .

It is a cyclic number.

It is not a de Polignac number, because 8415101 - 2⁶ = 8415037 is a prime.

Together with 8415103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8415103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4207550 + 4207551.

It is an arithmetic number, because the mean of its divisors is an integer number (4207551).

Almost surely, 2^8415101 is an apocalyptic number.

It is an amenable number.

8415101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8415101 is an equidigital number, since it uses as much as digits as its factorization.

8415101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 8415101 is about 2900.8793494387. The cubic root of 8415101 is about 203.4010127358.

The spelling of 8415101 in words is "eight million, four hundred fifteen thousand, one hundred one".