2658101 has 2 divisors, whose sum is σ = 2658102. Its totient is φ = 2658100.

The previous prime is 2658079. The next prime is 2658107. The reversal of 2658101 is 1018562.

2658101 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., 2477476 + 180625 = 1574^2 + 425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2658101 - 2¹⁰ = 2657077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₁₉₃₈₂₀ and since 2658101 and 193820 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2658107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1329050 + 1329051.

It is an arithmetic number, because the mean of its divisors is an integer number (1329051).

2^2658101 is an apocalyptic number.

It is an amenable number.

2658101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2658101 is an equidigital number, since it uses as much as digits as its factorization.

2658101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 2658101 is about 1630.3683632848. The cubic root of 2658101 is about 138.5236180708.

The spelling of 2658101 in words is "two million, six hundred fifty-eight thousand, one hundred one".