33054948 has 18 divisors (see below), whose sum is σ = 83555654. Its totient is φ = 11018304.

The previous prime is 33054947. The next prime is 33055019. The reversal of 33054948 is 84945033.

It can be written as a sum of positive squares in only one way, i.e., 16990884 + 16064064 = 4122^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 918193 = 33054948 / (3 + 3 + 0 + 5 + 4 + 9 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (33054941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459061 + ... + 459132.

Almost surely, 2^33054948 is an apocalyptic number.

It is an amenable number.

33054948 is an abundant number, since it is smaller than the sum of its proper divisors (50500706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33054948 is a wasteful number, since it uses less digits than its factorization.

33054948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918203 (or 918198 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 33054948 is about 5749.3432668436. The cubic root of 33054948 is about 320.9313621551.

It can be divided in two parts, 330 and 54948, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 33054948 in words is "thirty-three million, fifty-four thousand, nine hundred forty-eight".