967525 has 18 divisors (see below), whose sum is σ = 1304790. Its totient is φ = 711360.

The previous prime is 967511. The next prime is 967529. The reversal of 967525 is 525769.

It can be written as a sum of positive squares in 9 ways, for example, as 368449 + 599076 = 607^2 + 774^2 .

It is not a de Polignac number, because 967525 - 2⁵ = 967493 is a prime.

It is a super-2 number, since 2×967525² = 1872209251250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967529) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4111 + ... + 4339.

2⁹⁶⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

967525 is a deficient number, since it is larger than the sum of its proper divisors (337265).

967525 is a wasteful number, since it uses less digits than its factorization.

967525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 967525 is about 983.6284867774. The cubic root of 967525 is about 98.9055658352.

The spelling of 967525 in words is "nine hundred sixty-seven thousand, five hundred twenty-five".