4122972 has 36 divisors (see below), whose sum is σ = 11911536. Its totient is φ = 1177920.

The previous prime is 4122971. The next prime is 4122973. The reversal of 4122972 is 2792214.

It is an interprime number because it is at equal distance from previous prime (4122971) and next prime (4122973).

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

It is a super-2 number, since 2×4122972² = 33997796225568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7929 + ... + 8432.

It is an arithmetic number, because the mean of its divisors is an integer number (330876).

Almost surely, 2^4122972 is an apocalyptic number.

4122972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4122972 is an abundant number, since it is smaller than the sum of its proper divisors (7788564).

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

4122972 is a wasteful number, since it uses less digits than its factorization.

4122972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16378 (or 16373 counting only the distinct ones).

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

The square root of 4122972 is about 2030.5102806930. The cubic root of 4122972 is about 160.3504298496.

The spelling of 4122972 in words is "four million, one hundred twenty-two thousand, nine hundred seventy-two".