997901001 has 12 divisors (see below), whose sum is σ = 1443818740. Its totient is φ = 664156800.

The previous prime is 997900973. The next prime is 997901017. The reversal of 997901001 is 100109799.

It can be written as a sum of positive squares in 2 ways, for example, as 334890000 + 663011001 = 18300^2 + 25749^2 .

It is not a de Polignac number, because 997901001 - 2⁹ = 997900489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997901041) 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 in 11 ways as a sum of consecutive naturals, for example, 86836 + ... + 97653.

Almost surely, 2^997901001 is an apocalyptic number.

It is an amenable number.

997901001 is a deficient number, since it is larger than the sum of its proper divisors (445917739).

997901001 is a wasteful number, since it uses less digits than its factorization.

997901001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185096 (or 185093 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 997901001 is about 31589.5710797092. The cubic root of 997901001 is about 999.2998435620.

The spelling of 997901001 in words is "nine hundred ninety-seven million, nine hundred one thousand, one".