64123121 has 2 divisors, whose sum is σ = 64123122. Its totient is φ = 64123120.

The previous prime is 64123091. The next prime is 64123123. The reversal of 64123121 is 12132146.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63043600 + 1079521 = 7940^2 + 1039^2 .

It is a cyclic number.

It is not a de Polignac number, because 64123121 - 2¹⁴ = 64106737 is a prime.

It is a super-2 number, since 2×64123121² = 8223549293561282, which contains 22 as substring.

Together with 64123123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 64123093 and 64123102.

It is not a weakly prime, because it can be changed into another prime (64123123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32061560 + 32061561.

It is an arithmetic number, because the mean of its divisors is an integer number (32061561).

Almost surely, 2^64123121 is an apocalyptic number.

It is an amenable number.

64123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

64123121 is an equidigital number, since it uses as much as digits as its factorization.

64123121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 64123121 is about 8007.6913651814. The cubic root of 64123121 is about 400.2563377756.

Adding to 64123121 its reverse (12132146), we get a palindrome (76255267).

The spelling of 64123121 in words is "sixty-four million, one hundred twenty-three thousand, one hundred twenty-one".