3972123 has 24 divisors (see below), whose sum is σ = 6190080. Its totient is φ = 2447280.

The previous prime is 3972119. The next prime is 3972139. The reversal of 3972123 is 3212793.

It is not a de Polignac number, because 3972123 - 2² = 3972119 is a prime.

It is a super-2 number, since 2×3972123² = 31555522254258, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3972103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6108 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (257920).

Almost surely, 2^3972123 is an apocalyptic number.

3972123 is a deficient number, since it is larger than the sum of its proper divisors (2217957).

3972123 is a wasteful number, since it uses less digits than its factorization.

3972123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 676 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 3972123 is about 1993.0185648910. The cubic root of 3972123 is about 158.3704786964.

It can be divided in two parts, 3972 and 123, that added together give a triangular number (4095 = T₉₀).

The spelling of 3972123 in words is "three million, nine hundred seventy-two thousand, one hundred twenty-three".