967505 has 24 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 601440.

The previous prime is 967501. The next prime is 967507. The reversal of 967505 is 505769.

967505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 967505 - 2² = 967501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (967501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2516 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁹⁶⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

967505 is a deficient number, since it is larger than the sum of its proper divisors (509935).

967505 is a wasteful number, since it uses less digits than its factorization.

967505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 967505 is about 983.6183202849. The cubic root of 967505 is about 98.9048843283.

The spelling of 967505 in words is "nine hundred sixty-seven thousand, five hundred five".