961605 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 481536.

The previous prime is 961601. The next prime is 961613. The reversal of 961605 is 506169.

961605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 961605 - 2² = 961601 is a prime.

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

961605 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁹⁶¹⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

961605 is a deficient number, since it is larger than the sum of its proper divisors (852795).

961605 is a wasteful number, since it uses less digits than its factorization.

961605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 961605 is about 980.6146031954. The cubic root of 961605 is about 98.7034283415.

The spelling of 961605 in words is "nine hundred sixty-one thousand, six hundred five".