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89509 = 719673
BaseRepresentation
bin10101110110100101
311112210011
4111312211
510331014
61530221
7521650
oct256645
9145704
1089509
1161282
1243971
1331984
1424897
151b7c4
hex15da5

89509 has 8 divisors (see below), whose sum is σ = 107840. Its totient is φ = 72576.

The previous prime is 89501. The next prime is 89513. The reversal of 89509 is 90598.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 89509 - 23 = 89501 is a prime.

It is a super-2 number, since 2×895092 = 16023722162, which contains 22 as substring.

It is a Duffinian number.

89509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (13480).

289509 is an apocalyptic number.

It is an amenable number.

89509 is a deficient number, since it is larger than the sum of its proper divisors (18331).

89509 is a wasteful number, since it uses less digits than its factorization.

89509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 89509 is about 299.1805474960. The cubic root of 89509 is about 44.7324036391.

Subtracting 89509 from its reverse (90598), we obtain a square (1089 = 332).

The spelling of 89509 in words is "eighty-nine thousand, five hundred nine".

Divisors: 1 7 19 133 673 4711 12787 89509