904957117 has 2 divisors, whose sum is σ = 904957118. Its totient is φ = 904957116.

The previous prime is 904957111. The next prime is 904957159. The reversal of 904957117 is 711759409.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 717650521 + 187306596 = 26789^2 + 13686^2 .

It is a cyclic number.

It is not a de Polignac number, because 904957117 - 2²³ = 896568509 is a prime.

It is a super-3 number, since 3×904957117³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (904957111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452478558 + 452478559.

It is an arithmetic number, because the mean of its divisors is an integer number (452478559).

Almost surely, 2^904957117 is an apocalyptic number.

It is an amenable number.

904957117 is a deficient number, since it is larger than the sum of its proper divisors (1).

904957117 is an equidigital number, since it uses as much as digits as its factorization.

904957117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 43.

The square root of 904957117 is about 30082.5051649626. The cubic root of 904957117 is about 967.2587489026.

It can be divided in two parts, 9049 and 57117, that added together give a palindrome (66166).

The spelling of 904957117 in words is "nine hundred four million, nine hundred fifty-seven thousand, one hundred seventeen".