40957957 has 2 divisors, whose sum is σ = 40957958. Its totient is φ = 40957956.

The previous prime is 40957921. The next prime is 40957967. The reversal of 40957957 is 75975904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39929761 + 1028196 = 6319^2 + 1014^2 .

It is a cyclic number.

It is not a de Polignac number, because 40957957 - 2¹⁵ = 40925189 is a prime.

It is a super-2 number, since 2×40957957² = 3355108483227698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40957907) 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, 20478978 + 20478979.

It is an arithmetic number, because the mean of its divisors is an integer number (20478979).

Almost surely, 2^40957957 is an apocalyptic number.

It is an amenable number.

40957957 is a deficient number, since it is larger than the sum of its proper divisors (1).

40957957 is an equidigital number, since it uses as much as digits as its factorization.

40957957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 40957957 is about 6399.8403886347. The cubic root of 40957957 is about 344.7038191769.

It can be divided in two parts, 40957 and 957, that added together give a palindrome (41914).

The spelling of 40957957 in words is "forty million, nine hundred fifty-seven thousand, nine hundred fifty-seven".