973665 has 48 divisors (see below), whose sum is σ = 2111616. Its totient is φ = 403200.

The previous prime is 973657. The next prime is 973669. The reversal of 973665 is 566379.

It is a happy number.

It is not a de Polignac number, because 973665 - 2³ = 973657 is a prime.

973665 is a lucky number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973665.

It is not an unprimeable number, because it can be changed into a prime (973669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3325 + ... + 3605.

It is an arithmetic number, because the mean of its divisors is an integer number (43992).

2⁹⁷³⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

973665 is an abundant number, since it is smaller than the sum of its proper divisors (1137951).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

973665 is a wasteful number, since it uses less digits than its factorization.

973665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 973665 is about 986.7446478193. The cubic root of 973665 is about 99.1143459929.

It can be divided in two parts, 9736 and 65, that added together give a square (9801 = 99²).

The spelling of 973665 in words is "nine hundred seventy-three thousand, six hundred sixty-five".