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164264957 is a prime number
BaseRepresentation
bin10011100101001…
…11101111111101
3102110002112011022
421302213233331
5314022434312
624144433525
74033141403
oct1162475775
9373075138
10164264957
11847a576a
12470188a5
1328054acc
1417b5d473
15e64b172
hex9ca7bfd

164264957 has 2 divisors, whose sum is σ = 164264958. Its totient is φ = 164264956.

The previous prime is 164264951. The next prime is 164264963. The reversal of 164264957 is 759462461.

It is a balanced prime because it is at equal distance from previous prime (164264951) and next prime (164264963).

It can be written as a sum of positive squares in only one way, i.e., 148376761 + 15888196 = 12181^2 + 3986^2 .

It is a cyclic number.

It is not a de Polignac number, because 164264957 - 28 = 164264701 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164264951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82132478 + 82132479.

It is an arithmetic number, because the mean of its divisors is an integer number (82132479).

Almost surely, 2164264957 is an apocalyptic number.

It is an amenable number.

164264957 is a deficient number, since it is larger than the sum of its proper divisors (1).

164264957 is an equidigital number, since it uses as much as digits as its factorization.

164264957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 44.

The square root of 164264957 is about 12816.5891328387. The cubic root of 164264957 is about 547.6649845075.

The spelling of 164264957 in words is "one hundred sixty-four million, two hundred sixty-four thousand, nine hundred fifty-seven".