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97835137 is a prime number
BaseRepresentation
bin1011101010011…
…01100010000001
320211002112120121
411311031202001
5200021211022
613412540241
72265404431
oct565154201
9224075517
1097835137
1150252a94
1228921681
131736631a
14cdca2c1
1588c82c7
hex5d4d881

97835137 has 2 divisors, whose sum is σ = 97835138. Its totient is φ = 97835136.

The previous prime is 97835131. The next prime is 97835147. The reversal of 97835137 is 73153879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76895361 + 20939776 = 8769^2 + 4576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-97835137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97835093 and 97835102.

It is not a weakly prime, because it can be changed into another prime (97835131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48917568 + 48917569.

It is an arithmetic number, because the mean of its divisors is an integer number (48917569).

Almost surely, 297835137 is an apocalyptic number.

It is an amenable number.

97835137 is a deficient number, since it is larger than the sum of its proper divisors (1).

97835137 is an equidigital number, since it uses as much as digits as its factorization.

97835137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 158760, while the sum is 43.

The square root of 97835137 is about 9891.1645927060. The cubic root of 97835137 is about 460.7849499595.

The spelling of 97835137 in words is "ninety-seven million, eight hundred thirty-five thousand, one hundred thirty-seven".