33285948 has 24 divisors (see below), whose sum is σ = 81755520. Its totient is φ = 10511280.

The previous prime is 33285947. The next prime is 33285953. The reversal of 33285948 is 84958233.

It is a super-2 number, since 2×33285948² = 2215908668517408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33285943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72768 + ... + 73223.

It is an arithmetic number, because the mean of its divisors is an integer number (3406480).

Almost surely, 2^33285948 is an apocalyptic number.

33285948 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

33285948 is an abundant number, since it is smaller than the sum of its proper divisors (48469572).

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

33285948 is a wasteful number, since it uses less digits than its factorization.

33285948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146017 (or 146015 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 33285948 is about 5769.3975422049. The cubic root of 33285948 is about 321.6772224277.

The spelling of 33285948 in words is "thirty-three million, two hundred eighty-five thousand, nine hundred forty-eight".