967125 has 16 divisors (see below), whose sum is σ = 1609920. Its totient is φ = 515600.

The previous prime is 967111. The next prime is 967129. The reversal of 967125 is 521769.

It is not a de Polignac number, because 967125 - 2⁶ = 967061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 967092 and 967101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967129) 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 15 ways as a sum of consecutive naturals, for example, 915 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (100620).

2⁹⁶⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

967125 is a deficient number, since it is larger than the sum of its proper divisors (642795).

967125 is a wasteful number, since it uses less digits than its factorization.

967125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2587 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 967125 is about 983.4251369576. The cubic root of 967125 is about 98.8919339119.

The spelling of 967125 in words is "nine hundred sixty-seven thousand, one hundred twenty-five".