963965 has 16 divisors (see below), whose sum is σ = 1243200. Its totient is φ = 715392.

The previous prime is 963943. The next prime is 963973. The reversal of 963965 is 569369.

963965 = 101² + 102² + ... + 157².

It is a cyclic number.

It is not a de Polignac number, because 963965 - 2⁶ = 963901 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6866 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (77700).

2⁹⁶³⁹⁶⁵ is an apocalyptic number.

963965 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

963965 is a deficient number, since it is larger than the sum of its proper divisors (279235).

963965 is a wasteful number, since it uses less digits than its factorization.

963965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its digits is 43740, while the sum is 38.

The square root of 963965 is about 981.8171927604. The cubic root of 963965 is about 98.7841093513.

The spelling of 963965 in words is "nine hundred sixty-three thousand, nine hundred sixty-five".