33378961 has 32 divisors (see below), whose sum is σ = 43464960. Its totient is φ = 24883200.

The previous prime is 33378959. The next prime is 33378967. The reversal of 33378961 is 16987333.

It is a 5-Lehmer number, since φ(33378961) divides (33378961-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 33378961 - 2¹ = 33378959 is a prime.

It is a super-2 number, since 2×33378961² = 2228310074879042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (33378967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306175 + ... + 306283.

It is an arithmetic number, because the mean of its divisors is an integer number (1358280).

Almost surely, 2^33378961 is an apocalyptic number.

It is an amenable number.

33378961 is a deficient number, since it is larger than the sum of its proper divisors (10085999).

33378961 is a wasteful number, since it uses less digits than its factorization.

33378961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its digits is 81648, while the sum is 40.

The square root of 33378961 is about 5777.4528124425. The cubic root of 33378961 is about 321.9765713443.

The spelling of 33378961 in words is "thirty-three million, three hundred seventy-eight thousand, nine hundred sixty-one".