933145000 has 40 divisors (see below), whose sum is σ = 2186370450. Its totient is φ = 373256000.

The previous prime is 933144997. The next prime is 933145007. The reversal of 933145000 is 541339.

It can be written as a sum of positive squares in 5 ways, for example, as 1552516 + 931592484 = 1246^2 + 30522^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (933145007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 88315 + ... + 98314.

Almost surely, 2^933145000 is an apocalyptic number.

It is an amenable number.

933145000 is an abundant number, since it is smaller than the sum of its proper divisors (1253225450).

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

933145000 is a wasteful number, since it uses less digits than its factorization.

933145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186655 (or 186636 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 933145000 is about 30547.4221498312. The cubic root of 933145000 is about 977.1990688047.

Adding to 933145000 its reverse (541339), we get a palindrome (933686339).

The spelling of 933145000 in words is "nine hundred thirty-three million, one hundred forty-five thousand".