961065 has 48 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 435456.

The previous prime is 961063. The next prime is 961067. The reversal of 961065 is 560169.

961065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961063) and next prime (961067).

It is not a de Polignac number, because 961065 - 2¹ = 961063 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (961063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8449 + ... + 8561.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁹⁶¹⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

961065 is an abundant number, since it is smaller than the sum of its proper divisors (1030743).

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

961065 is a wasteful number, since it uses less digits than its factorization.

961065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

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

The square root of 961065 is about 980.3392270026. The cubic root of 961065 is about 98.6849488787.

The spelling of 961065 in words is "nine hundred sixty-one thousand, sixty-five".