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97872253 is a prime number
BaseRepresentation
bin1011101010101…
…10100101111101
320211011102111021
411311112211331
5200023403003
613413424141
72265620563
oct565264575
9224142437
1097872253
1150278966
122893b051
131737a19b
14cdd9a33
1588d42bd
hex5d5697d

97872253 has 2 divisors, whose sum is σ = 97872254. Its totient is φ = 97872252.

The previous prime is 97872251. The next prime is 97872277. The reversal of 97872253 is 35227879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94420089 + 3452164 = 9717^2 + 1858^2 .

It is a cyclic number.

It is not a de Polignac number, because 97872253 - 21 = 97872251 is a prime.

Together with 97872251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97872251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48936126 + 48936127.

It is an arithmetic number, because the mean of its divisors is an integer number (48936127).

Almost surely, 297872253 is an apocalyptic number.

It is an amenable number.

97872253 is a deficient number, since it is larger than the sum of its proper divisors (1).

97872253 is an equidigital number, since it uses as much as digits as its factorization.

97872253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 43.

The square root of 97872253 is about 9893.0406347088. The cubic root of 97872253 is about 460.8432123672.

The spelling of 97872253 in words is "ninety-seven million, eight hundred seventy-two thousand, two hundred fifty-three".