990817267 has 16 divisors (see below), whose sum is σ = 1110614400. Its totient is φ = 876291840.

The previous prime is 990817259. The next prime is 990817271. The reversal of 990817267 is 762718099.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 990817267 - 2³ = 990817259 is a prime.

It is a super-3 number, since 3×990817267³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 990817267.

It is not an unprimeable number, because it can be changed into a prime (990817237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55084 + ... + 70822.

It is an arithmetic number, because the mean of its divisors is an integer number (69413400).

Almost surely, 2^990817267 is an apocalyptic number.

990817267 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

990817267 is the 15739-th decagonal number.

990817267 is a deficient number, since it is larger than the sum of its proper divisors (119797133).

990817267 is a wasteful number, since it uses less digits than its factorization.

990817267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906.

The product of its (nonzero) digits is 381024, while the sum is 49.

The square root of 990817267 is about 31477.2499910650. The cubic root of 990817267 is about 996.9296717322.

The spelling of 990817267 in words is "nine hundred ninety million, eight hundred seventeen thousand, two hundred sixty-seven".