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987261 = 31129917
BaseRepresentation
bin11110001000001111101
31212011021020
43301001331
5223043021
633054353
711251212
oct3610175
91764236
10987261
11614820
123b73b9
132874a2
141b9b09
151477c6
hexf107d

987261 has 8 divisors (see below), whose sum is σ = 1436064. Its totient is φ = 598320.

The previous prime is 987251. The next prime is 987293. The reversal of 987261 is 162789.

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

It is not a de Polignac number, because 987261 - 29 = 986749 is a prime.

It is a super-3 number, since 3×9872613 = 2886803337153181743, which contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 29917 = 987261 / (9 + 8 + 7 + 2 + 6 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14926 + ... + 14991.

It is an arithmetic number, because the mean of its divisors is an integer number (179508).

2987261 is an apocalyptic number.

It is an amenable number.

987261 is a deficient number, since it is larger than the sum of its proper divisors (448803).

987261 is a wasteful number, since it uses less digits than its factorization.

987261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29931.

The product of its digits is 6048, while the sum is 33.

The square root of 987261 is about 993.6100844899. The cubic root of 987261 is about 99.5735506614.

The spelling of 987261 in words is "nine hundred eighty-seven thousand, two hundred sixty-one".

Divisors: 1 3 11 33 29917 89751 329087 987261