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BaseRepresentation
bin10100010110010101
311020100000
4110112111
510131344
61441513
7465000
oct242625
9136300
1083349
1157692
1240299
132bc26
1422537
1519a69
hex14595

83349 has 24 divisors (see below), whose sum is σ = 145600. Its totient is φ = 47628.

The previous prime is 83341. The next prime is 83357. The reversal of 83349 is 94338.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (83341) and next prime (83357).

It is not a de Polignac number, because 83349 - 23 = 83341 is a prime.

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

It is a d-powerful number, because it can be written as 83 + 39 + 310 + 46 + 9 .

Its product of digits (2592) is a multiple of the sum of its prime factors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83341) 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, 11904 + ... + 11910.

283349 is an apocalyptic number.

It is an amenable number.

83349 is a deficient number, since it is larger than the sum of its proper divisors (62251).

83349 is an frugal number, since it uses more digits than its factorization.

83349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 83349 is about 288.7022687822. The cubic root of 83349 is about 43.6817602841.

The spelling of 83349 in words is "eighty-three thousand, three hundred forty-nine".