966906 has 12 divisors (see below), whose sum is σ = 2095002. Its totient is φ = 322296.

The previous prime is 966893. The next prime is 966907. The reversal of 966906 is 609669.

It can be written as a sum of positive squares in only one way, i.e., 826281 + 140625 = 909^2 + 375^2 .

It is not an unprimeable number, because it can be changed into a prime (966907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26841 + ... + 26876.

2⁹⁶⁶⁹⁰⁶ is an apocalyptic number.

966906 is an abundant number, since it is smaller than the sum of its proper divisors (1128096).

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

966906 is a wasteful number, since it uses less digits than its factorization.

966906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53725 (or 53722 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 966906 is about 983.3137851164. The cubic root of 966906 is about 98.8844688416.

It can be divided in two parts, 96 and 6906, that multiplied together give a triangular number (662976 = T₁₁₅₁).

The spelling of 966906 in words is "nine hundred sixty-six thousand, nine hundred six".