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88621 = 1317401
BaseRepresentation
bin10101101000101101
311111120021
4111220231
510313441
61522141
7516241
oct255055
9144507
1088621
1160645
1243351
1331450
1424421
151b3d1
hex15a2d

88621 has 8 divisors (see below), whose sum is σ = 101304. Its totient is φ = 76800.

The previous prime is 88609. The next prime is 88643. The reversal of 88621 is 12688.

88621 = 142 + 152 + ... + 642.

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 52900 = 189^2 + 230^2 .

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

It is a 5-Lehmer number, since φ(88621) divides (88621-1)5.

It is a cyclic number.

It is not a de Polignac number, because 88621 - 25 = 88589 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88651) 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, 21 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (12663).

288621 is an apocalyptic number.

88621 is the 211-st centered square number.

It is an amenable number.

88621 is a deficient number, since it is larger than the sum of its proper divisors (12683).

88621 is a wasteful number, since it uses less digits than its factorization.

88621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 768, while the sum is 25.

The square root of 88621 is about 297.6927946726. The cubic root of 88621 is about 44.5839848121.

The spelling of 88621 in words is "eighty-eight thousand, six hundred twenty-one".

Divisors: 1 13 17 221 401 5213 6817 88621