967365 has 48 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 425088.

The previous prime is 967363. The next prime is 967391. The reversal of 967365 is 563769.

It is a happy number.

967365 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 967365 - 2¹ = 967363 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (34020) is a multiple of the sum of its prime divisors (135).

967365 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967365.

It is not an unprimeable number, because it can be changed into a prime (967361) 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, 11614 + ... + 11696.

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

2⁹⁶⁷³⁶⁵ is an apocalyptic number.

It is an amenable number.

967365 is an abundant number, since it is smaller than the sum of its proper divisors (1024443).

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

967365 is a wasteful number, since it uses less digits than its factorization.

967365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 967365 is about 983.5471518946. The cubic root of 967365 is about 98.9001135168.

The spelling of 967365 in words is "nine hundred sixty-seven thousand, three hundred sixty-five".