33879749 has 2 divisors, whose sum is σ = 33879750. Its totient is φ = 33879748.

The previous prime is 33879739. The next prime is 33879751. The reversal of 33879749 is 94797833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33849124 + 30625 = 5818^2 + 175^2 .

It is a cyclic number.

It is not a de Polignac number, because 33879749 - 2¹⁶ = 33814213 is a prime.

It is a super-2 number, since 2×33879749² = 2295674784606002, which contains 22 as substring.

Together with 33879751, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33879697 and 33879706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33879739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16939874 + 16939875.

It is an arithmetic number, because the mean of its divisors is an integer number (16939875).

Almost surely, 2^33879749 is an apocalyptic number.

It is an amenable number.

33879749 is a deficient number, since it is larger than the sum of its proper divisors (1).

33879749 is an equidigital number, since it uses as much as digits as its factorization.

33879749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1143072, while the sum is 50.

The square root of 33879749 is about 5820.6313231470. The cubic root of 33879749 is about 323.5788009753.

The spelling of 33879749 in words is "thirty-three million, eight hundred seventy-nine thousand, seven hundred forty-nine".