997965 has 24 divisors (see below), whose sum is σ = 1760928. Its totient is φ = 522720.

The previous prime is 997963. The next prime is 997973. The reversal of 997965 is 569799.

It is not a de Polignac number, because 997965 - 2¹ = 997963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 997965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2850 + ... + 3180.

It is an arithmetic number, because the mean of its divisors is an integer number (73372).

2⁹⁹⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

997965 is a deficient number, since it is larger than the sum of its proper divisors (762963).

997965 is a wasteful number, since it uses less digits than its factorization.

997965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 406 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 997965 is about 998.9819818195. The cubic root of 997965 is about 99.9321206010.

The spelling of 997965 in words is "nine hundred ninety-seven thousand, nine hundred sixty-five".