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87373 = 1113247
BaseRepresentation
bin10101010101001101
311102212001
4111111031
510243443
61512301
7512506
oct252515
9142761
1087373
115a710
1242691
1330a00
1423bad
151ad4d
hex1554d

87373 has 12 divisors (see below), whose sum is σ = 105408. Its totient is φ = 71760.

The previous prime is 87359. The next prime is 87383. The reversal of 87373 is 37378.

It is not a de Polignac number, because 87373 - 29 = 86861 is a prime.

It is a super-2 number, since 2×873732 = 15268082258, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (3528) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1836 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (8784).

287373 is an apocalyptic number.

It is an amenable number.

87373 is a deficient number, since it is larger than the sum of its proper divisors (18035).

87373 is a wasteful number, since it uses less digits than its factorization.

87373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 87373 is about 295.5892420235. The cubic root of 87373 is about 44.3737108665.

Subtracting from 87373 its product of digits (3528), we obtain a triangular number (83845 = T409).

It can be divided in two parts, 873 and 73, that added together give a triangular number (946 = T43).

The spelling of 87373 in words is "eighty-seven thousand, three hundred seventy-three".

Divisors: 1 11 13 47 143 169 517 611 1859 6721 7943 87373