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89397 = 3371143
BaseRepresentation
bin10101110100110101
311112122000
4111310311
510330042
61525513
7521430
oct256465
9145560
1089397
1161190
1243899
13318c9
1424817
151b74c
hex15d35

89397 has 32 divisors (see below), whose sum is σ = 168960. Its totient is φ = 45360.

The previous prime is 89393. The next prime is 89399. The reversal of 89397 is 79398.

It is not a de Polignac number, because 89397 - 22 = 89393 is a prime.

It is a super-3 number, since 3×893973 = 2143335165521319, which contains 333 as substring.

89397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2058 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

289397 is an apocalyptic number.

It is an amenable number.

89397 is a deficient number, since it is larger than the sum of its proper divisors (79563).

89397 is a wasteful number, since it uses less digits than its factorization.

89397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 89397 is about 298.9933109620. The cubic root of 89397 is about 44.7137384013.

Subtracting from 89397 its reverse (79398), we obtain a palindrome (9999).

It can be divided in two parts, 893 and 97, that added together give a triangular number (990 = T44).

The spelling of 89397 in words is "eighty-nine thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 11 21 27 33 43 63 77 99 129 189 231 297 301 387 473 693 903 1161 1419 2079 2709 3311 4257 8127 9933 12771 29799 89397