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998001 = 36372
BaseRepresentation
bin11110011101001110001
31212201000000
43303221301
5223414001
633220213
711324424
oct3635161
91781000
10998001
116218a4
12401669
1328c344
141bd9bb
1514aa86
hexf3a71

998001 has 21 divisors (see below), whose sum is σ = 1537851. Its totient is φ = 647352.

The previous prime is 997991. The next prime is 998009. The reversal of 998001 is 100899.

The square root of 998001 is 999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 893025 + 104976 = 945^2 + 324^2 .

It is not a de Polignac number, because 998001 - 215 = 965233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (998009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26955 + ... + 26991.

It is an arithmetic number, because the mean of its divisors is an integer number (73231).

2998001 is an apocalyptic number.

998001 is the 999-th square number.

998001 is the 500-th centered octagonal number.

It is an amenable number.

998001 is a deficient number, since it is larger than the sum of its proper divisors (539850).

998001 is an frugal number, since it uses more digits than its factorization.

998001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 998001 is about 99.9333222173.

998001 divided by its sum of digits (27) gives a palindrome (36963).

It can be divided in two parts, 99 and 8001, that added together give a square (8100 = 902).

The spelling of 998001 in words is "nine hundred ninety-eight thousand, one".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 2997 4107 8991 12321 26973 36963 110889 332667 998001