97805101 has 2 divisors, whose sum is σ = 97805102. Its totient is φ = 97805100.

The previous prime is 97805089. The next prime is 97805107. The reversal of 97805101 is 10150879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82828201 + 14976900 = 9101^2 + 3870^2 .

It is a cyclic number.

It is not a de Polignac number, because 97805101 - 2⁹ = 97804589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97805107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48902550 + 48902551.

It is an arithmetic number, because the mean of its divisors is an integer number (48902551).

Almost surely, 2^97805101 is an apocalyptic number.

It is an amenable number.

97805101 is a deficient number, since it is larger than the sum of its proper divisors (1).

97805101 is an equidigital number, since it uses as much as digits as its factorization.

97805101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 97805101 is about 9889.6461514050. The cubic root of 97805101 is about 460.7377905109.

The spelling of 97805101 in words is "ninety-seven million, eight hundred five thousand, one hundred one".