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972673153 is a prime number
BaseRepresentation
bin111001111110011…
…101000010000001
32111210020220201121
4321332131002001
53443001020103
6240303432241
733050404534
oct7176350201
92453226647
10972673153
1145a059811
122318b5681
1312668cb5a
1493276a1b
155a5d46bd
hex39f9d081

972673153 has 2 divisors, whose sum is σ = 972673154. Its totient is φ = 972673152.

The previous prime is 972673123. The next prime is 972673157. The reversal of 972673153 is 351376279.

It is a happy number.

972673153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 947593089 + 25080064 = 30783^2 + 5008^2 .

It is a cyclic number.

It is not a de Polignac number, because 972673153 - 221 = 970576001 is a prime.

It is a super-2 number, since 2×9726731532 = 1892186125133922818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (972673157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486336576 + 486336577.

It is an arithmetic number, because the mean of its divisors is an integer number (486336577).

Almost surely, 2972673153 is an apocalyptic number.

It is an amenable number.

972673153 is a deficient number, since it is larger than the sum of its proper divisors (1).

972673153 is an equidigital number, since it uses as much as digits as its factorization.

972673153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 238140, while the sum is 43.

The square root of 972673153 is about 31187.7083640334. The cubic root of 972673153 is about 990.8067949692.

The spelling of 972673153 in words is "nine hundred seventy-two million, six hundred seventy-three thousand, one hundred fifty-three".