966953 has 4 divisors (see below), whose sum is σ = 1041348. Its totient is φ = 892560.

The previous prime is 966937. The next prime is 966961. The reversal of 966953 is 359669.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 359669 = 17 ⋅21157.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 683929 = 532^2 + 827^2 .

It is a cyclic number.

It is not a de Polignac number, because 966953 - 2⁴ = 966937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37178 + ... + 37203.

It is an arithmetic number, because the mean of its divisors is an integer number (260337).

2⁹⁶⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

966953 is a deficient number, since it is larger than the sum of its proper divisors (74395).

966953 is a wasteful number, since it uses less digits than its factorization.

966953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74394.

The product of its digits is 43740, while the sum is 38.

The square root of 966953 is about 983.3376836062. The cubic root of 966953 is about 98.8860710293.

The spelling of 966953 in words is "nine hundred sixty-six thousand, nine hundred fifty-three".