33960961 has 8 divisors (see below), whose sum is σ = 36118880. Its totient is φ = 31840128.

The previous prime is 33960959. The next prime is 33960973. The reversal of 33960961 is 16906933.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33960961 - 2¹ = 33960959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33960961.

It is not an unprimeable number, because it can be changed into a prime (33960911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7371 + ... + 11056.

It is an arithmetic number, because the mean of its divisors is an integer number (4514860).

Almost surely, 2^33960961 is an apocalyptic number.

33960961 is the 3686-th heptagonal number.

It is an amenable number.

33960961 is a deficient number, since it is larger than the sum of its proper divisors (2157919).

33960961 is a wasteful number, since it uses less digits than its factorization.

33960961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18543.

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 33960961 is about 5827.6033667366. The cubic root of 33960961 is about 323.8371412640.

It can be divided in two parts, 33 and 960961, that multiplied together give a palindrome (31711713).

The spelling of 33960961 in words is "thirty-three million, nine hundred sixty thousand, nine hundred sixty-one".