8972941 has 8 divisors (see below), whose sum is σ = 9193464. Its totient is φ = 8755200.

The previous prime is 8972933. The next prime is 8972947. The reversal of 8972941 is 1492798.

It can be written as a sum of positive squares in 4 ways, for example, as 3164841 + 5808100 = 1779^2 + 2410^2 .

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

It is a 6-Lehmer number, since φ(8972941) divides (8972941-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 8972941 - 2³ = 8972933 is a prime.

It is a super-3 number, since 3×8972941³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8972894 and 8972903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6765 + ... + 7981.

It is an arithmetic number, because the mean of its divisors is an integer number (1149183).

Almost surely, 2^8972941 is an apocalyptic number.

It is an amenable number.

8972941 is a deficient number, since it is larger than the sum of its proper divisors (220523).

8972941 is a wasteful number, since it uses less digits than its factorization.

8972941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391.

The product of its digits is 36288, while the sum is 40.

The square root of 8972941 is about 2995.4867717952. The cubic root of 8972941 is about 207.7997101179.

The spelling of 8972941 in words is "eight million, nine hundred seventy-two thousand, nine hundred forty-one".