967504 has 20 divisors (see below), whose sum is σ = 1985364. Its totient is φ = 455168.

The previous prime is 967501. The next prime is 967507. The reversal of 967504 is 405769.

It is an interprime number because it is at equal distance from previous prime (967501) and next prime (967507).

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 547600 = 648^2 + 740^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1507 + ... + 2050.

2⁹⁶⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

967504 is an abundant number, since it is smaller than the sum of its proper divisors (1017860).

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

967504 is a wasteful number, since it uses less digits than its factorization.

967504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 967504 is about 983.6178119575. The cubic root of 967504 is about 98.9048502527.

The spelling of 967504 in words is "nine hundred sixty-seven thousand, five hundred four".