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98971137 = 3273971553
BaseRepresentation
bin1011110011000…
…10111000000001
320220020020212200
411321202320001
5200314034022
613453143413
72311145406
oct571427001
9226206780
1098971137
1150959531
122918ab69
1317673405
14d2042ad
158a4ebac
hex5e62e01

98971137 has 24 divisors (see below), whose sum is σ = 146504904. Its totient is φ = 64364544.

The previous prime is 98971099. The next prime is 98971151. The reversal of 98971137 is 73117989.

It can be written as a sum of positive squares in 4 ways, for example, as 2852721 + 96118416 = 1689^2 + 9804^2 .

It is not a de Polignac number, because 98971137 - 27 = 98971009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 98971092 and 98971101.

It is not an unprimeable number, because it can be changed into a prime (98971157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62953 + ... + 64505.

It is an arithmetic number, because the mean of its divisors is an integer number (6104371).

Almost surely, 298971137 is an apocalyptic number.

98971137 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

98971137 is a deficient number, since it is larger than the sum of its proper divisors (47533767).

98971137 is a wasteful number, since it uses less digits than its factorization.

98971137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1726 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The square root of 98971137 is about 9948.4238450118. The cubic root of 98971137 is about 462.5615396077.

The spelling of 98971137 in words is "ninety-eight million, nine hundred seventy-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 73 97 219 291 657 873 1553 4659 7081 13977 21243 63729 113369 150641 340107 451923 1020321 1355769 10996793 32990379 98971137