Search a number
-
+
972031 is a prime number
BaseRepresentation
bin11101101010011111111
31211101101011
43231103333
5222101111
632500051
711155624
oct3552377
91741334
10972031
11604335
123aa627
13280588
141b434b
15143021
hexed4ff

972031 has 2 divisors, whose sum is σ = 972032. Its totient is φ = 972030.

The previous prime is 972029. The next prime is 972047. The reversal of 972031 is 130279.

It is a weak prime.

It is an emirp because it is prime and its reverse (130279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972031 - 21 = 972029 is a prime.

It is a super-2 number, since 2×9720312 = 1889688529922, which contains 22 as substring.

Together with 972029, 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 = 971993 and 972011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486015 + 486016.

It is an arithmetic number, because the mean of its divisors is an integer number (486016).

2972031 is an apocalyptic number.

972031 is a deficient number, since it is larger than the sum of its proper divisors (1).

972031 is an equidigital number, since it uses as much as digits as its factorization.

972031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 972031 is about 985.9163250500. The cubic root of 972031 is about 99.0588705394.

The spelling of 972031 in words is "nine hundred seventy-two thousand, thirty-one".