961704 has 72 divisors (see below), whose sum is σ = 2823210. Its totient is φ = 295488.

The previous prime is 961703. The next prime is 961729. The reversal of 961704 is 407169.

961704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 324900 = 798^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961704.

It is not an unprimeable number, because it can be changed into a prime (961703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25974 + ... + 26010.

2⁹⁶¹⁷⁰⁴ 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 961704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411605).

961704 is an abundant number, since it is smaller than the sum of its proper divisors (1861506).

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

961704 is a wasteful number, since it uses less digits than its factorization.

961704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 961704 is about 980.6650804429. The cubic root of 961704 is about 98.7068154925.

The spelling of 961704 in words is "nine hundred sixty-one thousand, seven hundred four".