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88319 = 7113137
BaseRepresentation
bin10101100011111111
311111011002
4111203333
510311234
61520515
7515330
oct254377
9144132
1088319
11603a0
124313b
133127a
1424287
151b27e
hex158ff

88319 has 16 divisors (see below), whose sum is σ = 116736. Its totient is φ = 64800.

The previous prime is 88301. The next prime is 88321. The reversal of 88319 is 91388.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 88319 - 212 = 84223 is a prime.

It is a super-2 number, since 2×883192 = 15600491522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 88291 and 88300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

288319 is an apocalyptic number.

88319 is a deficient number, since it is larger than the sum of its proper divisors (28417).

88319 is a wasteful number, since it uses less digits than its factorization.

88319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86.

The product of its digits is 1728, while the sum is 29.

The square root of 88319 is about 297.1851274879. The cubic root of 88319 is about 44.5332831841.

The spelling of 88319 in words is "eighty-eight thousand, three hundred nineteen".