997761 has 8 divisors (see below), whose sum is σ = 1343680. Its totient is φ = 658512.

The previous prime is 997751. The next prime is 997769. The reversal of 997761 is 167799.

997761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 997761 - 2¹¹ = 995713 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (997769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (167960).

2⁹⁹⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

997761 is a deficient number, since it is larger than the sum of its proper divisors (345919).

997761 is a wasteful number, since it uses less digits than its factorization.

997761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335.

The product of its digits is 23814, while the sum is 39.

The square root of 997761 is about 998.8798726574. The cubic root of 997761 is about 99.9253108959.

The spelling of 997761 in words is "nine hundred ninety-seven thousand, seven hundred sixty-one".