4257972 has 18 divisors (see below), whose sum is σ = 10763298. Its totient is φ = 1419312.

The previous prime is 4257961. The next prime is 4257977. The reversal of 4257972 is 2797524.

It can be written as a sum of positive squares in only one way, i.e., 2944656 + 1313316 = 1716^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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), and also a Moran number because the ratio is a prime number: 118277 = 4257972 / (4 + 2 + 5 + 7 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59103 + ... + 59174.

It is an arithmetic number, because the mean of its divisors is an integer number (597961).

Almost surely, 2^4257972 is an apocalyptic number.

It is an amenable number.

4257972 is an abundant number, since it is smaller than the sum of its proper divisors (6505326).

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

4257972 is a wasteful number, since it uses less digits than its factorization.

4257972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118287 (or 118282 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 4257972 is about 2063.4854009660. The cubic root of 4257972 is about 162.0818059625.

The spelling of 4257972 in words is "four million, two hundred fifty-seven thousand, nine hundred seventy-two".