Search a number
-
+
1097623829 is a prime number
BaseRepresentation
bin100000101101100…
…0110100100010101
32211111101001211102
41001123012210111
54221442430304
6300525515445
736125435321
oct10133064425
92744331742
101097623829
11513642035
12267712b85
1314652b273
14a5ac0981
1566566d1e
hex416c6915

1097623829 has 2 divisors, whose sum is σ = 1097623830. Its totient is φ = 1097623828.

The previous prime is 1097623823. The next prime is 1097623831. The reversal of 1097623829 is 9283267901.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1095477604 + 2146225 = 33098^2 + 1465^2 .

It is an emirp because it is prime and its reverse (9283267901) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1097623829 is a prime.

Together with 1097623831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1097623823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 548811914 + 548811915.

It is an arithmetic number, because the mean of its divisors is an integer number (548811915).

Almost surely, 21097623829 is an apocalyptic number.

It is an amenable number.

1097623829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1097623829 is an equidigital number, since it uses as much as digits as its factorization.

1097623829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 1097623829 is about 33130.4064116334. The cubic root of 1097623829 is about 1031.5362844281.

The spelling of 1097623829 in words is "one billion, ninety-seven million, six hundred twenty-three thousand, eight hundred twenty-nine".