4116964 has 12 divisors (see below), whose sum is σ = 7224364. Its totient is φ = 2052864.

The previous prime is 4116923. The next prime is 4116967. The reversal of 4116964 is 4696114.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 3132900 = 992^2 + 1770^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4116967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 544 + ... + 2920.

Almost surely, 2^4116964 is an apocalyptic number.

It is an amenable number.

4116964 is a deficient number, since it is larger than the sum of its proper divisors (3107400).

4116964 is a wasteful number, since it uses less digits than its factorization.

4116964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2812 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 4116964 is about 2029.0303102714. The cubic root of 4116964 is about 160.2725043701.

It can be divided in two parts, 4 and 116964, that multiplied together give a square (467856 = 684²).

The spelling of 4116964 in words is "four million, one hundred sixteen thousand, nine hundred sixty-four".