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82621 = 7112937
BaseRepresentation
bin10100001010111101
311012100001
4110022331
510120441
61434301
7462610
oct241275
9135301
1082621
1157090
123b991
132b7b6
1422177
1519731
hex142bd

82621 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 60480.

The previous prime is 82619. The next prime is 82633. The reversal of 82621 is 12628.

It can be divided in two parts, 82 and 621, that added together give a triangular number (703 = T37).

82621 = T78 + T79 + ... + T98.

It is a happy number.

82621 is a nontrivial binomial coefficient, being equal to C(407, 2).

It is not a de Polignac number, because 82621 - 21 = 82619 is a prime.

It is a super-4 number, since 4×826214 (a number of 21 digits) contains 4444 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82601) 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, 2215 + ... + 2251.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

282621 is an apocalyptic number.

82621 is the 406-th triangular number and also the 154-th nonagonal number.

82621 is the 136-th centered nonagonal number.

It is an amenable number.

82621 is a deficient number, since it is larger than the sum of its proper divisors (26819).

82621 is a wasteful number, since it uses less digits than its factorization.

82621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 192, while the sum is 19.

The square root of 82621 is about 287.4386891147. The cubic root of 82621 is about 43.5542108293.

The spelling of 82621 in words is "eighty-two thousand, six hundred twenty-one".

Divisors: 1 7 11 29 37 77 203 259 319 407 1073 2233 2849 7511 11803 82621