967652 has 18 divisors (see below), whose sum is σ = 1970262. Its totient is φ = 414624.

The previous prime is 967627. The next prime is 967663. The reversal of 967652 is 256769.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 164836 = 896^2 + 406^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

967652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2273 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (109459).

2⁹⁶⁷⁶⁵² is an apocalyptic number.

It is an amenable number.

967652 is an abundant number, since it is smaller than the sum of its proper divisors (1002610).

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

967652 is a wasteful number, since it uses less digits than its factorization.

967652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4946 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 967652 is about 983.6930415531. The cubic root of 967652 is about 98.9098931850.

The spelling of 967652 in words is "nine hundred sixty-seven thousand, six hundred fifty-two".