33625248 has 48 divisors (see below), whose sum is σ = 90429696. Its totient is φ = 10933760.

The previous prime is 33625243. The next prime is 33625253. The reversal of 33625248 is 84252633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33625243) and next prime (33625253).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33625248² = 2261314606123008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33625243) 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, 336 + ... + 8207.

It is an arithmetic number, because the mean of its divisors is an integer number (1883952).

Almost surely, 2^33625248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33625248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45214848).

33625248 is an abundant number, since it is smaller than the sum of its proper divisors (56804448).

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

33625248 is a wasteful number, since it uses less digits than its factorization.

33625248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8597 (or 8589 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 33625248 is about 5798.7281364106. The cubic root of 33625248 is about 322.7665340608.

The spelling of 33625248 in words is "thirty-three million, six hundred twenty-five thousand, two hundred forty-eight".