961625 has 24 divisors (see below), whose sum is σ = 1404936. Its totient is φ = 655200.

The previous prime is 961619. The next prime is 961627. The reversal of 961625 is 526169.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 866761 = 308^2 + 931^2 .

It is not a de Polignac number, because 961625 - 2¹⁰ = 960601 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961625.

It is not an unprimeable number, because it can be changed into a prime (961627) 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 23 ways as a sum of consecutive naturals, for example, 6047 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (58539).

2⁹⁶¹⁶²⁵ is an apocalyptic number.

It is an amenable number.

961625 is a deficient number, since it is larger than the sum of its proper divisors (443311).

961625 is a wasteful number, since it uses less digits than its factorization.

961625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 961625 is about 980.6248008285. The cubic root of 961625 is about 98.7041126332.

It can be divided in two parts, 961 and 625, that multiplied together give a square (600625 = 775²).

The spelling of 961625 in words is "nine hundred sixty-one thousand, six hundred twenty-five".