305372133 has 16 divisors (see below), whose sum is σ = 493531200. Its totient is φ = 185073840.

The previous prime is 305372129. The next prime is 305372143. The reversal of 305372133 is 331273503.

It is not a de Polignac number, because 305372133 - 2² = 305372129 is a prime.

It is a super-2 number, since 2×305372133² = 186504279225939378, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 305372097 and 305372106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305372143) 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, 513798 + ... + 514391.

It is an arithmetic number, because the mean of its divisors is an integer number (30845700).

Almost surely, 2^305372133 is an apocalyptic number.

305372133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

305372133 is a deficient number, since it is larger than the sum of its proper divisors (188159067).

305372133 is a wasteful number, since it uses less digits than its factorization.

305372133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028209 (or 1028203 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 305372133 is about 17474.9000855513. The cubic root of 305372133 is about 673.4052029016.

The spelling of 305372133 in words is "three hundred five million, three hundred seventy-two thousand, one hundred thirty-three".