965874 has 64 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 241920.

The previous prime is 965857. The next prime is 965893. The reversal of 965874 is 478569.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

965874 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15804 + ... + 15864.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

965874 is a Friedman number, since it can be written as ((7+4)^5-9*8)*6, using all its digits and the basic arithmetic operations.

2⁹⁶⁵⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

965874 is an abundant number, since it is smaller than the sum of its proper divisors (1533966).

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

965874 is a wasteful number, since it uses less digits than its factorization.

965874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its digits is 60480, while the sum is 39.

The square root of 965874 is about 982.7888888261. The cubic root of 965874 is about 98.8492757964.

The spelling of 965874 in words is "nine hundred sixty-five thousand, eight hundred seventy-four".