961225 has 6 divisors (see below), whose sum is σ = 1191950. Its totient is φ = 768960.

The previous prime is 961201. The next prime is 961241. The reversal of 961225 is 522169.

It can be written as a sum of positive squares in 3 ways, for example, as 8649 + 952576 = 93^2 + 976^2 .

It is not a de Polignac number, because 961225 - 2⁷ = 961097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 38449 = 961225 / (9 + 6 + 1 + 2 + 2 + 5).

It is an Ulam number.

It is a plaindrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 961225.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 19200 + ... + 19249.

2⁹⁶¹²²⁵ is an apocalyptic number.

It is an amenable number.

961225 is a deficient number, since it is larger than the sum of its proper divisors (230725).

961225 is a wasteful number, since it uses less digits than its factorization.

961225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38459 (or 38454 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 961225 is about 980.4208280121. The cubic root of 961225 is about 98.6904249966.

It can be divided in two parts, 961 and 225, that multiplied together give a square (216225 = 465²).

The spelling of 961225 in words is "nine hundred sixty-one thousand, two hundred twenty-five".