4162984 has 32 divisors (see below), whose sum is σ = 9043200. Its totient is φ = 1759680.

The previous prime is 4162973. The next prime is 4162993. The reversal of 4162984 is 4892614.

4162984 = T₅₆ + T₅₇ + ... + T₂₉₂.

4162984 is nontrivially palindromic in base 9.

4162984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3954 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (282600).

Almost surely, 2^4162984 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 4162984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521600).

4162984 is an abundant number, since it is smaller than the sum of its proper divisors (4880216).

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

4162984 is a wasteful number, since it uses less digits than its factorization.

4162984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1029 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 4162984 is about 2040.3391874882. The cubic root of 4162984 is about 160.8674757862.

The spelling of 4162984 in words is "four million, one hundred sixty-two thousand, nine hundred eighty-four".