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167128961 is a prime number
BaseRepresentation
bin10011111011000…
…10111110000001
3102122111000211112
421331202332001
5320241111321
624330053105
74066400306
oct1175427601
9378430745
10167128961
118638150a
1247b7a195
132881859c
14182a70ad
15ea14a5b
hex9f62f81

167128961 has 2 divisors, whose sum is σ = 167128962. Its totient is φ = 167128960.

The previous prime is 167128919. The next prime is 167128993. The reversal of 167128961 is 169821761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139240000 + 27888961 = 11800^2 + 5281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-167128961 is a prime.

It is not a weakly prime, because it can be changed into another prime (167128361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83564480 + 83564481.

It is an arithmetic number, because the mean of its divisors is an integer number (83564481).

Almost surely, 2167128961 is an apocalyptic number.

It is an amenable number.

167128961 is a deficient number, since it is larger than the sum of its proper divisors (1).

167128961 is an equidigital number, since it uses as much as digits as its factorization.

167128961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 41.

The square root of 167128961 is about 12927.8366713074. The cubic root of 167128961 is about 550.8295591749.

The spelling of 167128961 in words is "one hundred sixty-seven million, one hundred twenty-eight thousand, nine hundred sixty-one".