Search a number
-
+
993979541 is a prime number
BaseRepresentation
bin111011001111101…
…110110010010101
32120021100101121002
4323033232302111
54013424321131
6242344233045
733426454352
oct7317566225
92507311532
10993979541
114700915a5
12238a6b785
1312ac0ca99
1496021629
155c3e26cb
hex3b3eec95

993979541 has 2 divisors, whose sum is σ = 993979542. Its totient is φ = 993979540.

The previous prime is 993979537. The next prime is 993979573. The reversal of 993979541 is 145979399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 891261316 + 102718225 = 29854^2 + 10135^2 .

It is a cyclic number.

It is not a de Polignac number, because 993979541 - 22 = 993979537 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993079541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496989770 + 496989771.

It is an arithmetic number, because the mean of its divisors is an integer number (496989771).

Almost surely, 2993979541 is an apocalyptic number.

It is an amenable number.

993979541 is a deficient number, since it is larger than the sum of its proper divisors (1).

993979541 is an equidigital number, since it uses as much as digits as its factorization.

993979541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2755620, while the sum is 56.

The square root of 993979541 is about 31527.4410791615. The cubic root of 993979541 is about 997.9891394837.

The spelling of 993979541 in words is "nine hundred ninety-three million, nine hundred seventy-nine thousand, five hundred forty-one".