997611 has 16 divisors (see below), whose sum is σ = 1456128. Its totient is φ = 604800.

The previous prime is 997609. The next prime is 997627. The reversal of 997611 is 116799.

It is not a de Polignac number, because 997611 - 2¹ = 997609 is a prime.

997611 is a lucky number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (997651) 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 15 ways as a sum of consecutive naturals, for example, 1266 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (91008).

2⁹⁹⁷⁶¹¹ is an apocalyptic number.

997611 is a deficient number, since it is larger than the sum of its proper divisors (458517).

997611 is a wasteful number, since it uses less digits than its factorization.

997611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its digits is 3402, while the sum is 33.

The square root of 997611 is about 998.8047857314. The cubic root of 997611 is about 99.9203031677.

Subtracting from 997611 its sum of digits (33), we obtain a triangular number (997578 = T₁₄₁₂).

The spelling of 997611 in words is "nine hundred ninety-seven thousand, six hundred eleven".