961500 has 48 divisors (see below), whose sum is σ = 2804256. Its totient is φ = 256000.

The previous prime is 961487. The next prime is 961507. The reversal of 961500 is 5169.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961507) by changing a digit.

961500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180 + ... + 1820.

It is an arithmetic number, because the mean of its divisors is an integer number (58422).

2⁹⁶¹⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402128).

961500 is an abundant number, since it is smaller than the sum of its proper divisors (1842756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961500 is a wasteful number, since it uses less digits than its factorization.

961500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 961500 is about 980.5610638813. The cubic root of 961500 is about 98.6998356545.

Adding to 961500 its reverse (5169), we get a palindrome (966669).

It can be divided in two parts, 96 and 1500, that added together give a triangular number (1596 = T₅₆).

The spelling of 961500 in words is "nine hundred sixty-one thousand, five hundred".