967536 has 30 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 322464.

The previous prime is 967529. The next prime is 967567. The reversal of 967536 is 635769.

It is a happy number.

967536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×967536² = 1872251822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 967536.

It is a congruent number.

It is an unprimeable number.

967536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3216 + ... + 3503.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

2⁹⁶⁷⁵³⁶ is an apocalyptic number.

It is an amenable number.

967536 is an abundant number, since it is smaller than the sum of its proper divisors (1740624).

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

967536 is a wasteful number, since it uses less digits than its factorization.

967536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6724 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 967536 is about 983.6340783035. The cubic root of 967536 is about 98.9059406600.

The spelling of 967536 in words is "nine hundred sixty-seven thousand, five hundred thirty-six".