1820033145 has 80 divisors (see below), whose sum is σ = 3829655808. Its totient is φ = 809481600.

The previous prime is 1820033143. The next prime is 1820033221. The reversal of 1820033145 is 5413300281.

It is a happy number.

1820033145 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1820033145 - 2¹ = 1820033143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1820033143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96220 + ... + 113570.

Almost surely, 2^1820033145 is an apocalyptic number.

1820033145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1820033145 is an abundant number, since it is smaller than the sum of its proper divisors (2009622663).

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

1820033145 is a wasteful number, since it uses less digits than its factorization.

1820033145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17412 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1820033145 is about 42661.8464790262. The cubic root of 1820033145 is about 1220.9365613679.

The spelling of 1820033145 in words is "one billion, eight hundred twenty million, thirty-three thousand, one hundred forty-five".