9001005797 has 8 divisors (see below), whose sum is σ = 10293793536. Its totient is φ = 7709950512.

The previous prime is 9001005787. The next prime is 9001005803. The reversal of 9001005797 is 7975001009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9001005797 - 2⁴ = 9001005781 is a prime.

It is a super-3 number, since 3×9001005797³ (a number of 31 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 9001005797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001005787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421958 + ... + 442775.

It is an arithmetic number, because the mean of its divisors is an integer number (1286724192).

Almost surely, 2^9001005797 is an apocalyptic number.

It is an amenable number.

9001005797 is a deficient number, since it is larger than the sum of its proper divisors (1292787739).

9001005797 is a wasteful number, since it uses less digits than its factorization.

9001005797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866227.

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 9001005797 is about 94873.6306725952. The cubic root of 9001005797 is about 2080.1613069089.

The spelling of 9001005797 in words is "nine billion, one million, five thousand, seven hundred ninety-seven".