33145890 has 32 divisors (see below), whose sum is σ = 79871616. Its totient is φ = 8803200.

The previous prime is 33145883. The next prime is 33145897. The reversal of 33145890 is 9854133.

It is an interprime number because it is at equal distance from previous prime (33145883) and next prime (33145897).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33145897) 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, 5790 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (2495988).

Almost surely, 2^33145890 is an apocalyptic number.

33145890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33145890 is an abundant number, since it is smaller than the sum of its proper divisors (46725726).

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

33145890 is a wasteful number, since it uses less digits than its factorization.

33145890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 33145890 is about 5757.2467378079. The cubic root of 33145890 is about 321.2254120785.

The spelling of 33145890 in words is "thirty-three million, one hundred forty-five thousand, eight hundred ninety".