3111966 has 96 divisors (see below), whose sum is σ = 8432640. Its totient is φ = 842400.

The previous prime is 3111931. The next prime is 3111973. The reversal of 3111966 is 6691113.

3111966 = T₁₃₃ + T₁₃₄ + ... + T₂₇₅.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100371 + ... + 100401.

It is an arithmetic number, because the mean of its divisors is an integer number (87840).

Almost surely, 2^3111966 is an apocalyptic number.

3111966 is the 1116-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216320).

3111966 is an abundant number, since it is smaller than the sum of its proper divisors (5320674).

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

3111966 is a wasteful number, since it uses less digits than its factorization.

3111966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 3111966 is about 1764.0765289522. The cubic root of 3111966 is about 145.9973415416.

The spelling of 3111966 in words is "three million, one hundred eleven thousand, nine hundred sixty-six".