33973140 has 96 divisors (see below), whose sum is σ = 106081920. Its totient is φ = 8073216.

The previous prime is 33973099. The next prime is 33973171. The reversal of 33973140 is 4137933.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33973098 and 33973107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18504 + ... + 20256.

It is an arithmetic number, because the mean of its divisors is an integer number (1105020).

Almost surely, 2^33973140 is an apocalyptic number.

33973140 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 33973140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53040960).

33973140 is an abundant number, since it is smaller than the sum of its proper divisors (72108780).

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

33973140 is a wasteful number, since it uses less digits than its factorization.

33973140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 33973140 is about 5828.6482137799. The cubic root of 33973140 is about 323.8758478755.

The spelling of 33973140 in words is "thirty-three million, nine hundred seventy-three thousand, one hundred forty".