66164101 has 2 divisors, whose sum is σ = 66164102. Its totient is φ = 66164100.

The previous prime is 66164083. The next prime is 66164107. The reversal of 66164101 is 10146166.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52548001 + 13616100 = 7249^2 + 3690^2 .

It is a cyclic number.

It is not a de Polignac number, because 66164101 - 2⁵ = 66164069 is a prime.

It is a super-2 number, since 2×66164101² = 8755376522276402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66164107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33082050 + 33082051.

It is an arithmetic number, because the mean of its divisors is an integer number (33082051).

Almost surely, 2^66164101 is an apocalyptic number.

It is an amenable number.

66164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66164101 is an equidigital number, since it uses as much as digits as its factorization.

66164101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 66164101 is about 8134.1318528777. The cubic root of 66164101 is about 404.4586599686.

The spelling of 66164101 in words is "sixty-six million, one hundred sixty-four thousand, one hundred one".