33906963 has 24 divisors (see below), whose sum is σ = 49252800. Its totient is φ = 20690640.

The previous prime is 33906949. The next prime is 33906997. The reversal of 33906963 is 36960933.

It is not a de Polignac number, because 33906963 - 2¹⁶ = 33841427 is a prime.

It is a super-2 number, since 2×33906963² = 2299364279766738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33906923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54468 + ... + 55086.

It is an arithmetic number, because the mean of its divisors is an integer number (2052200).

Almost surely, 2^33906963 is an apocalyptic number.

33906963 is a deficient number, since it is larger than the sum of its proper divisors (15345837).

33906963 is a wasteful number, since it uses less digits than its factorization.

33906963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 39.

The square root of 33906963 is about 5822.9685728158. The cubic root of 33906963 is about 323.6654163037.

The spelling of 33906963 in words is "thirty-three million, nine hundred six thousand, nine hundred sixty-three".