967665 has 16 divisors (see below), whose sum is σ = 1598976. Its totient is φ = 499200.

The previous prime is 967663. The next prime is 967667. The reversal of 967665 is 566769.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (967663) and next prime (967667).

It is not a de Polignac number, because 967665 - 2¹ = 967663 is a prime.

967665 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (967663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (99936).

2⁹⁶⁷⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

967665 is a deficient number, since it is larger than the sum of its proper divisors (631311).

967665 is a wasteful number, since it uses less digits than its factorization.

967665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120.

The product of its digits is 68040, while the sum is 39.

The square root of 967665 is about 983.6996492833. The cubic root of 967665 is about 98.9103361207.

The spelling of 967665 in words is "nine hundred sixty-seven thousand, six hundred sixty-five".