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97929 = 351331
BaseRepresentation
bin10111111010001001
311222100000
4113322021
511113204
62033213
7555336
oct277211
9158300
1097929
1167637
1248809
1335760
142798d
151e039
hex17e89

97929 has 24 divisors (see below), whose sum is σ = 163072. Its totient is φ = 58320.

The previous prime is 97927. The next prime is 97931. The reversal of 97929 is 92979.

It is an interprime number because it is at equal distance from previous prime (97927) and next prime (97931).

It is not a de Polignac number, because 97929 - 21 = 97927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97893 and 97902.

It is not an unprimeable number, because it can be changed into a prime (97927) 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, 3144 + ... + 3174.

297929 is an apocalyptic number.

It is an amenable number.

97929 is a deficient number, since it is larger than the sum of its proper divisors (65143).

97929 is a wasteful number, since it uses less digits than its factorization.

97929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 97929 is about 312.9360957128. The cubic root of 97929 is about 46.0932261838.

Subtracting from 97929 its reverse (92979), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 9792 and 9, that added together give a square (9801 = 992).

The spelling of 97929 in words is "ninety-seven thousand, nine hundred twenty-nine".

Divisors: 1 3 9 13 27 31 39 81 93 117 243 279 351 403 837 1053 1209 2511 3159 3627 7533 10881 32643 97929