33790945 has 16 divisors (see below), whose sum is σ = 42748560. Its totient is φ = 25602304.

The previous prime is 33790943. The next prime is 33790957. The reversal of 33790945 is 54909733.

It can be written as a sum of positive squares in 8 ways, for example, as 69696 + 33721249 = 264^2 + 5807^2 .

It is a cyclic number.

It is not a de Polignac number, because 33790945 - 2¹ = 33790943 is a prime.

It is a super-2 number, since 2×33790945² = 2283655927986050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33790898 and 33790907.

It is not an unprimeable number, because it can be changed into a prime (33790943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5487 + ... + 9883.

It is an arithmetic number, because the mean of its divisors is an integer number (2671785).

Almost surely, 2^33790945 is an apocalyptic number.

It is an amenable number.

33790945 is a deficient number, since it is larger than the sum of its proper divisors (8957615).

33790945 is a wasteful number, since it uses less digits than its factorization.

33790945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484.

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 33790945 is about 5812.9979356611. The cubic root of 33790945 is about 323.2958371039.

The spelling of 33790945 in words is "thirty-three million, seven hundred ninety thousand, nine hundred forty-five".