4014972 has 72 divisors (see below), whose sum is σ = 11435424. Its totient is φ = 1178496.

The previous prime is 4014971. The next prime is 4014973. The reversal of 4014972 is 2794104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4014971) and next prime (4014973).

It is a super-2 number, since 2×4014972² = 32240000321568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014971) 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 23 ways as a sum of consecutive naturals, for example, 10578 + ... + 10950.

Almost surely, 2^4014972 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 4014972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717712).

4014972 is an abundant number, since it is smaller than the sum of its proper divisors (7420452).

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

4014972 is a wasteful number, since it uses less digits than its factorization.

4014972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4014972 is about 2003.7395040274. The cubic root of 4014972 is about 158.9379133410.

The spelling of 4014972 in words is "four million, fourteen thousand, nine hundred seventy-two".