2147964 has 72 divisors (see below), whose sum is σ = 6301008. Its totient is φ = 564480.

The previous prime is 2147941. The next prime is 2147987. The reversal of 2147964 is 4697412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2147941) and next prime (2147987).

It is a super-2 number, since 2×2147964² = 9227498690592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7504 + ... + 7784.

It is an arithmetic number, because the mean of its divisors is an integer number (87514).

2^2147964 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 2147964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150504).

2147964 is an abundant number, since it is smaller than the sum of its proper divisors (4153044).

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

2147964 is a wasteful number, since it uses less digits than its factorization.

2147964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2147964 is about 1465.5933951816. The cubic root of 2147964 is about 129.0255342760.

The spelling of 2147964 in words is "two million, one hundred forty-seven thousand, nine hundred sixty-four".