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2097829 is a prime number
BaseRepresentation
bin1000000000001010100101
310221120200101
420000022211
51014112304
6112544101
723555056
oct10001245
93846611
102097829
111203148
12852031
13585b26
143c872d
152b68a4
hex2002a5

2097829 has 2 divisors, whose sum is σ = 2097830. Its totient is φ = 2097828.

The previous prime is 2097803. The next prime is 2097833. The reversal of 2097829 is 9287902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2024929 + 72900 = 1423^2 + 270^2 .

It is a cyclic number.

It is not a de Polignac number, because 2097829 - 29 = 2097317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2097859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048914 + 1048915.

It is an arithmetic number, because the mean of its divisors is an integer number (1048915).

22097829 is an apocalyptic number.

It is an amenable number.

2097829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2097829 is an equidigital number, since it uses as much as digits as its factorization.

2097829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2097829 is about 1448.3884147562. The cubic root of 2097829 is about 128.0137721184.

It can be divided in two parts, 2097 and 829, that added together give a triangular number (2926 = T76).

The spelling of 2097829 in words is "two million, ninety-seven thousand, eight hundred twenty-nine".