Search a number
-
+
32973041 is a prime number
BaseRepresentation
bin111110111001…
…0000011110001
32022001012111202
41331302003301
531420114131
63134420545
7550160213
oct175620361
968035452
1032973041
1117681152
12b061755
136aa629a
1445445b3
152d64bcb
hex1f720f1

32973041 has 2 divisors, whose sum is σ = 32973042. Its totient is φ = 32973040.

The previous prime is 32972977. The next prime is 32973043. The reversal of 32973041 is 14037923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23232400 + 9740641 = 4820^2 + 3121^2 .

It is a cyclic number.

It is not a de Polignac number, because 32973041 - 26 = 32972977 is a prime.

Together with 32973043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 32972995 and 32973013.

It is not a weakly prime, because it can be changed into another prime (32973043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16486520 + 16486521.

It is an arithmetic number, because the mean of its divisors is an integer number (16486521).

Almost surely, 232973041 is an apocalyptic number.

It is an amenable number.

32973041 is a deficient number, since it is larger than the sum of its proper divisors (1).

32973041 is an equidigital number, since it uses as much as digits as its factorization.

32973041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 32973041 is about 5742.2156873458. The cubic root of 32973041 is about 320.6660638318. Note that the first 3 decimals are identical.

The spelling of 32973041 in words is "thirty-two million, nine hundred seventy-three thousand, forty-one".