97892101 has 2 divisors, whose sum is σ = 97892102. Its totient is φ = 97892100.

The previous prime is 97892083. The next prime is 97892107. The reversal of 97892101 is 10129879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93896100 + 3996001 = 9690^2 + 1999^2 .

It is a cyclic number.

It is not a de Polignac number, because 97892101 - 2⁹ = 97891589 is a prime.

It is equal to p_5647087 and since 97892101 and 5647087 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97892107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48946050 + 48946051.

It is an arithmetic number, because the mean of its divisors is an integer number (48946051).

Almost surely, 2^97892101 is an apocalyptic number.

It is an amenable number.

97892101 is a deficient number, since it is larger than the sum of its proper divisors (1).

97892101 is an equidigital number, since it uses as much as digits as its factorization.

97892101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 97892101 is about 9894.0437132651. The cubic root of 97892101 is about 460.8743624891.

The spelling of 97892101 in words is "ninety-seven million, eight hundred ninety-two thousand, one hundred one".