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8972141 = 175211013
BaseRepresentation
bin100010001110…
…011101101101
3121212211110112
4202032131231
54244102031
6520145405
7136155563
oct42163555
917784415
108972141
1150789a2
123008265
131b21a79
141297a33
15bc362b
hex88e76d

8972141 has 8 divisors (see below), whose sum is σ = 9527544. Its totient is φ = 8419840.

The previous prime is 8972137. The next prime is 8972147. The reversal of 8972141 is 1412798.

It can be written as a sum of positive squares in 4 ways, for example, as 32041 + 8940100 = 179^2 + 2990^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 8972141 - 22 = 8972137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8972098 and 8972107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972147) 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 7 ways as a sum of consecutive naturals, for example, 8351 + ... + 9363.

It is an arithmetic number, because the mean of its divisors is an integer number (1190943).

Almost surely, 28972141 is an apocalyptic number.

It is an amenable number.

8972141 is a deficient number, since it is larger than the sum of its proper divisors (555403).

8972141 is a wasteful number, since it uses less digits than its factorization.

8972141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551.

The product of its digits is 4032, while the sum is 32.

The square root of 8972141 is about 2995.3532345952. The cubic root of 8972141 is about 207.7935343387.

The spelling of 8972141 in words is "eight million, nine hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 17 521 1013 8857 17221 527773 8972141