2011965 has 16 divisors (see below), whose sum is σ = 3250368. Its totient is φ = 1062656.

The previous prime is 2011957. The next prime is 2011973. The reversal of 2011965 is 5691102.

It is an interprime number because it is at equal distance from previous prime (2011957) and next prime (2011973).

It is a cyclic number.

It is not a de Polignac number, because 2011965 - 2³ = 2011957 is a prime.

It is a super-3 number, since 3×2011965³ = 24433322040822171375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1102 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (203148).

2^2011965 is an apocalyptic number.

It is an amenable number.

2011965 is a deficient number, since it is larger than the sum of its proper divisors (1238403).

2011965 is a wasteful number, since it uses less digits than its factorization.

2011965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2011965 is about 1418.4375206543. The cubic root of 2011965 is about 126.2428548713.

The spelling of 2011965 in words is "two million, eleven thousand, nine hundred sixty-five".