33540 has 48 divisors (see below), whose sum is σ = 103488. Its totient is φ = 8064.

The previous prime is 33533. The next prime is 33547. The reversal of 33540 is 4533.

33540 = T₁₆ + T₁₇ + ... + T₅₈.

It is an interprime number because it is at equal distance from previous prime (33533) and next prime (33547).

It is a super-2 number, since 2×33540² = 2249863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (2156).

2³³⁵⁴⁰ is an apocalyptic number.

33540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744).

33540 is an abundant number, since it is smaller than the sum of its proper divisors (69948).

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

33540 is a wasteful number, since it uses less digits than its factorization.

33540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 33540 is about 183.1392912512. The cubic root of 33540 is about 32.2493539922.

The spelling of 33540 in words is "thirty-three thousand, five hundred forty".