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2097819 = 358997
BaseRepresentation
bin1000000000001010011011
310221120200000
420000022123
51014112234
6112544043
723555043
oct10001233
93846600
102097819
111203139
12852023
13585b19
143c8723
152b6899
hex20029b

2097819 has 24 divisors (see below), whose sum is σ = 3210480. Its totient is φ = 1368576.

The previous prime is 2097803. The next prime is 2097829. The reversal of 2097819 is 9187902.

It is a happy number.

It is not a de Polignac number, because 2097819 - 24 = 2097803 is a prime.

It is a super-2 number, since 2×20978192 = 8801689113522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

2097819 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2097829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21579 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

22097819 is an apocalyptic number.

2097819 is a deficient number, since it is larger than the sum of its proper divisors (1112661).

2097819 is an frugal number, since it uses more digits than its factorization.

2097819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2097819 is about 1448.3849626394. The cubic root of 2097819 is about 128.0135687113.

It can be divided in two parts, 2097 and 819, that added together give a square (2916 = 542).

The spelling of 2097819 in words is "two million, ninety-seven thousand, eight hundred nineteen".

Divisors: 1 3 9 27 81 89 97 243 267 291 801 873 2403 2619 7209 7857 8633 21627 23571 25899 77697 233091 699273 2097819