4971564 has 48 divisors (see below), whose sum is σ = 13884640. Its totient is φ = 1529280.

The previous prime is 4971553. The next prime is 4971583. The reversal of 4971564 is 4651794.

4971564 is a `hidden beast` number, since 4 + 97 + 1 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367 + ... + 3174.

Almost surely, 2^4971564 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 4971564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942320).

4971564 is an abundant number, since it is smaller than the sum of its proper divisors (8913076).

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

4971564 is a wasteful number, since it uses less digits than its factorization.

4971564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3559 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 4971564 is about 2229.7004283087. The cubic root of 4971564 is about 170.6728123465.

The spelling of 4971564 in words is "four million, nine hundred seventy-one thousand, five hundred sixty-four".