963521 has 8 divisors (see below), whose sum is σ = 1047144. Its totient is φ = 881280.

The previous prime is 963499. The next prime is 963559. The reversal of 963521 is 125369.

It can be written as a sum of positive squares in 4 ways, for example, as 34225 + 929296 = 185^2 + 964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 963521 - 2¹⁰ = 962497 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963581) 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 7 ways as a sum of consecutive naturals, for example, 1511 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (130893).

2⁹⁶³⁵²¹ is an apocalyptic number.

It is an amenable number.

963521 is a deficient number, since it is larger than the sum of its proper divisors (83623).

963521 is a wasteful number, since it uses less digits than its factorization.

963521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691.

The product of its digits is 1620, while the sum is 26.

The square root of 963521 is about 981.5910553790. The cubic root of 963521 is about 98.7689404464.

The spelling of 963521 in words is "nine hundred sixty-three thousand, five hundred twenty-one".