1965965 has 16 divisors (see below), whose sum is σ = 2533680. Its totient is φ = 1459200.

The previous prime is 1965959. The next prime is 1965967. The reversal of 1965965 is 5695691.

It can be written as a sum of positive squares in 8 ways, for example, as 682276 + 1283689 = 826^2 + 1133^2 .

It is not a de Polignac number, because 1965965 - 2⁸ = 1965709 is a prime.

It is a d-powerful number, because it can be written as 1 + 9² + 6⁷ + 5⁵ + 9² + 6⁸ + 5⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8471 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (158355).

2^1965965 is an apocalyptic number.

1965965 is the 1145-th pentagonal number.

It is an amenable number.

1965965 is a deficient number, since it is larger than the sum of its proper divisors (567715).

1965965 is a wasteful number, since it uses less digits than its factorization.

1965965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352.

The product of its digits is 72900, while the sum is 41.

The square root of 1965965 is about 1402.1287387398. The cubic root of 1965965 is about 125.2733219254.

The spelling of 1965965 in words is "one million, nine hundred sixty-five thousand, nine hundred sixty-five".