4965972 has 48 divisors (see below), whose sum is σ = 13390272. Its totient is φ = 1415680.

The previous prime is 4965967. The next prime is 4965979. The reversal of 4965972 is 2795694.

It is a d-powerful number, because it can be written as 4⁸ + 9⁴ + 6 + 5⁷ + 9⁷ + 7 + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 3350.

It is an arithmetic number, because the mean of its divisors is an integer number (278964).

Almost surely, 2^4965972 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 4965972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695136).

4965972 is an abundant number, since it is smaller than the sum of its proper divisors (8424300).

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

4965972 is a wasteful number, since it uses less digits than its factorization.

4965972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2246 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 4965972 is about 2228.4460953768. The cubic root of 4965972 is about 170.6087975867.

The spelling of 4965972 in words is "four million, nine hundred sixty-five thousand, nine hundred seventy-two".