3972993 has 8 divisors (see below), whose sum is σ = 5314656. Its totient is φ = 2640000.

The previous prime is 3972979. The next prime is 3973007. The reversal of 3972993 is 3992793.

It is an interprime number because it is at equal distance from previous prime (3972979) and next prime (3973007).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3972993 - 2⁸ = 3972737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3972923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (664332).

Almost surely, 2^3972993 is an apocalyptic number.

It is an amenable number.

3972993 is a deficient number, since it is larger than the sum of its proper divisors (1341663).

3972993 is a wasteful number, since it uses less digits than its factorization.

3972993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335.

The product of its digits is 91854, while the sum is 42.

The square root of 3972993 is about 1993.2368148316. The cubic root of 3972993 is about 158.3820402936.

It can be divided in two parts, 3972 and 993, that multiplied together give a square (3944196 = 1986²).

The spelling of 3972993 in words is "three million, nine hundred seventy-two thousand, nine hundred ninety-three".