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98901 = 351137
BaseRepresentation
bin11000001001010101
312000200000
4120021111
511131101
62041513
7561225
oct301125
9160600
1098901
1168340
1249299
133602a
1428085
151e486
hex18255

98901 has 24 divisors (see below), whose sum is σ = 165984. Its totient is φ = 58320.

The previous prime is 98899. The next prime is 98909. The reversal of 98901 is 10989.

It is not a de Polignac number, because 98901 - 21 = 98899 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655 + ... + 2691.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

298901 is an apocalyptic number.

It is an amenable number.

98901 is a deficient number, since it is larger than the sum of its proper divisors (67083).

98901 is a wasteful number, since it uses less digits than its factorization.

98901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 98901 is about 314.4852937738. The cubic root of 98901 is about 46.2452247322.

98901 divided by its sum of digits (27) gives a palindrome (3663).

Multiplying 98901 by its reverse (10989), we get a square (1086823089 = 329672).

It can be divided in two parts, 98 and 901, that added together give a palindrome (999).

The spelling of 98901 in words is "ninety-eight thousand, nine hundred one".

Divisors: 1 3 9 11 27 33 37 81 99 111 243 297 333 407 891 999 1221 2673 2997 3663 8991 10989 32967 98901