966289 has 3 divisors (see below), whose sum is σ = 967273. Its totient is φ = 965306.

The previous prime is 966271. The next prime is 966293. The reversal of 966289 is 982669.

It is a happy number.

The square root of 966289 is 983.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 982669 = 31 ⋅31699.

It is not a de Polignac number, because 966289 - 2⁵ = 966257 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966209) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 492 + ... + 1474.

966289 is a Friedman number, since it can be written as (966+9+8)^2, using all its digits and the basic arithmetic operations.

2⁹⁶⁶²⁸⁹ is an apocalyptic number.

966289 is the 983-rd square number.

966289 is the 492-nd centered octagonal number.

It is an amenable number.

966289 is a deficient number, since it is larger than the sum of its proper divisors (984).

966289 is an frugal number, since it uses more digits than its factorization.

966289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 983 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The cubic root of 966289 is about 98.8634310505.

Multiplying 966289 by its product of digits (46656), we get a square (45083179584 = 212328²).

The spelling of 966289 in words is "nine hundred sixty-six thousand, two hundred eighty-nine".