40972961 has 2 divisors, whose sum is σ = 40972962. Its totient is φ = 40972960.

The previous prime is 40972903. The next prime is 40972999. The reversal of 40972961 is 16927904.

It is an a-pointer prime, because the next prime (40972999) can be obtained adding 40972961 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35473936 + 5499025 = 5956^2 + 2345^2 .

It is a cyclic number.

It is not a de Polignac number, because 40972961 - 2¹⁰ = 40971937 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40972901) 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, 20486480 + 20486481.

It is an arithmetic number, because the mean of its divisors is an integer number (20486481).

Almost surely, 2^40972961 is an apocalyptic number.

It is an amenable number.

40972961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40972961 is an equidigital number, since it uses as much as digits as its factorization.

40972961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 40972961 is about 6401.0124980350. The cubic root of 40972961 is about 344.7459054614.

The spelling of 40972961 in words is "forty million, nine hundred seventy-two thousand, nine hundred sixty-one".