961129 has 8 divisors (see below), whose sum is σ = 1096200. Its totient is φ = 834816.

The previous prime is 961123. The next prime is 961133. The reversal of 961129 is 921169.

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 960400 = 27^2 + 980^2 .

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 961129 - 2⁵ = 961097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 961097 and 961106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961123) 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, 1954 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (137025).

2⁹⁶¹¹²⁹ is an apocalyptic number.

It is an amenable number.

961129 is a deficient number, since it is larger than the sum of its proper divisors (135071).

961129 is a wasteful number, since it uses less digits than its factorization.

961129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379.

The product of its digits is 972, while the sum is 28.

The square root of 961129 is about 980.3718682214. The cubic root of 961129 is about 98.6871393988.

It can be divided in two parts, 96 and 1129, that added together give a triangular number (1225 = T₄₉).

The spelling of 961129 in words is "nine hundred sixty-one thousand, one hundred twenty-nine".