967725 has 72 divisors (see below), whose sum is σ = 2089152. Its totient is φ = 422400.

The previous prime is 967721. The next prime is 967739. The reversal of 967725 is 527769.

967725 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 967725 - 2² = 967721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 967725.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967725.

It is not an unprimeable number, because it can be changed into a prime (967721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42064 + ... + 42086.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁹⁶⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

967725 is an abundant number, since it is smaller than the sum of its proper divisors (1121427).

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

967725 is a wasteful number, since it uses less digits than its factorization.

967725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 967725 is about 983.7301459242. The cubic root of 967725 is about 98.9123803879.

The spelling of 967725 in words is "nine hundred sixty-seven thousand, seven hundred twenty-five".