967561 has 8 divisors (see below), whose sum is σ = 1112000. Its totient is φ = 824688.

The previous prime is 967529. The next prime is 967567. The reversal of 967561 is 165769.

967561 = T₂₉₃ + T₂₉₄ + ... + T₃₁₃.

967561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 967561 - 2⁵ = 967529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1690 + ... + 2188.

It is an arithmetic number, because the mean of its divisors is an integer number (139000).

2⁹⁶⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

967561 is a deficient number, since it is larger than the sum of its proper divisors (144439).

967561 is a wasteful number, since it uses less digits than its factorization.

967561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783.

The product of its digits is 11340, while the sum is 34.

The square root of 967561 is about 983.6467861992. The cubic root of 967561 is about 98.9067925240.

The spelling of 967561 in words is "nine hundred sixty-seven thousand, five hundred sixty-one".