40657121 has 2 divisors, whose sum is σ = 40657122. Its totient is φ = 40657120.

The previous prime is 40657091. The next prime is 40657129. The reversal of 40657121 is 12175604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38440000 + 2217121 = 6200^2 + 1489^2 .

It is a cyclic number.

It is not a de Polignac number, because 40657121 - 2¹⁴ = 40640737 is a prime.

It is not a weakly prime, because it can be changed into another prime (40657129) 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, 20328560 + 20328561.

It is an arithmetic number, because the mean of its divisors is an integer number (20328561).

Almost surely, 2^40657121 is an apocalyptic number.

It is an amenable number.

40657121 is a deficient number, since it is larger than the sum of its proper divisors (1).

40657121 is an equidigital number, since it uses as much as digits as its factorization.

40657121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 40657121 is about 6376.2936726597. The cubic root of 40657121 is about 343.8577951301.

The spelling of 40657121 in words is "forty million, six hundred fifty-seven thousand, one hundred twenty-one".