4617972 has 36 divisors (see below), whose sum is σ = 12108096. Its totient is φ = 1539000.

The previous prime is 4617967. The next prime is 4617979. The reversal of 4617972 is 2797164.

It is a happy number.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4617979) 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 11 ways as a sum of consecutive naturals, for example, 1404 + ... + 3347.

It is an arithmetic number, because the mean of its divisors is an integer number (336336).

Almost surely, 2^4617972 is an apocalyptic number.

It is an amenable number.

4617972 is an abundant number, since it is smaller than the sum of its proper divisors (7490124).

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

4617972 is a wasteful number, since it uses less digits than its factorization.

4617972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4756 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4617972 is about 2148.9467187439. The cubic root of 4617972 is about 166.5266575287.

The spelling of 4617972 in words is "four million, six hundred seventeen thousand, nine hundred seventy-two".