961925 has 12 divisors (see below), whose sum is σ = 1207140. Its totient is φ = 760320.

The previous prime is 961879. The next prime is 961927. The reversal of 961925 is 529169.

It can be written as a sum of positive squares in 6 ways, for example, as 7396 + 954529 = 86^2 + 977^2 .

It is not a de Polignac number, because 961925 - 2⁶ = 961861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 961891 and 961900.

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 961925.

It is not an unprimeable number, because it can be changed into a prime (961927) 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 11 ways as a sum of consecutive naturals, for example, 2549 + ... + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (100595).

2⁹⁶¹⁹²⁵ is an apocalyptic number.

It is an amenable number.

961925 is a deficient number, since it is larger than the sum of its proper divisors (245215).

961925 is a wasteful number, since it uses less digits than its factorization.

961925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 961925 is about 980.7777526025. Note that the first 4 decimals coincide. The cubic root of 961925 is about 98.7143758699.

The spelling of 961925 in words is "nine hundred sixty-one thousand, nine hundred twenty-five".