4211964 has 36 divisors (see below), whose sum is σ = 10788960. Its totient is φ = 1385280.

The previous prime is 4211929. The next prime is 4211981. The reversal of 4211964 is 4691124.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2104 + ... + 3584.

Almost surely, 2^4211964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394480).

4211964 is an abundant number, since it is smaller than the sum of its proper divisors (6576996).

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

4211964 is a wasteful number, since it uses less digits than its factorization.

4211964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1565 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4211964 is about 2052.3069945795. The cubic root of 4211964 is about 161.4959182577.

The spelling of 4211964 in words is "four million, two hundred eleven thousand, nine hundred sixty-four".