33146900 has 36 divisors (see below), whose sum is σ = 72612540. Its totient is φ = 13132800.

The previous prime is 33146879. The next prime is 33146903. The reversal of 33146900 is 964133.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 30625156 = 1588^2 + 5534^2 .

It is a super-2 number, since 2×33146900² = 2197433959220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33146900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33146903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9380 + ... + 12420.

It is an arithmetic number, because the mean of its divisors is an integer number (2017015).

Almost surely, 2^33146900 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 33146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36306270).

33146900 is an abundant number, since it is smaller than the sum of its proper divisors (39465640).

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

33146900 is a wasteful number, since it uses less digits than its factorization.

33146900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 33146900 is about 5757.3344526786. The cubic root of 33146900 is about 321.2286747693.

The spelling of 33146900 in words is "thirty-three million, one hundred forty-six thousand, nine hundred".