963225 has 24 divisors (see below), whose sum is σ = 1770720. Its totient is φ = 513360.

The previous prime is 963223. The next prime is 963227. The reversal of 963225 is 522369.

963225 = T₂₆₅ + T₂₆₆ + ... + T₂₈₉.

963225 is a `hidden beast` number, since 9 + 632 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (963223) and next prime (963227).

It is not a de Polignac number, because 963225 - 2¹ = 963223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (963223) 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, 39 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (73780).

2⁹⁶³²²⁵ is an apocalyptic number.

It is an amenable number.

963225 is a deficient number, since it is larger than the sum of its proper divisors (807495).

963225 is a wasteful number, since it uses less digits than its factorization.

963225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 963225 is about 981.4402681773. The cubic root of 963225 is about 98.7588252541.

It can be divided in two parts, 96 and 3225, that added together give a triangular number (3321 = T₈₁).

The spelling of 963225 in words is "nine hundred sixty-three thousand, two hundred twenty-five".