33164145 has 48 divisors (see below), whose sum is σ = 66293760. Its totient is φ = 15023232.

The previous prime is 33164123. The next prime is 33164147. The reversal of 33164145 is 54146133.

It is not a de Polignac number, because 33164145 - 2⁵ = 33164113 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33164147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39591 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (1381120).

Almost surely, 2^33164145 is an apocalyptic number.

33164145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33164145 is a deficient number, since it is larger than the sum of its proper divisors (33129615).

33164145 is a wasteful number, since it uses less digits than its factorization.

33164145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 971 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 33164145 is about 5758.8319128101. The cubic root of 33164145 is about 321.2843725680.

The spelling of 33164145 in words is "thirty-three million, one hundred sixty-four thousand, one hundred forty-five".