1657628145 has 24 divisors (see below), whose sum is σ = 2979639936. Its totient is φ = 884067696.

The previous prime is 1657628143. The next prime is 1657628149. The reversal of 1657628145 is 5418267561.

1657628145 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 628 + 14 + 5 = 666.

It is not a de Polignac number, because 1657628145 - 2¹ = 1657628143 is a prime.

It is a super-2 number, since 2×1657628145² = 5495462134192282050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1657628145.

It is not an unprimeable number, because it can be changed into a prime (1657628143) 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 23 ways as a sum of consecutive naturals, for example, 680937 + ... + 683366.

It is an arithmetic number, because the mean of its divisors is an integer number (124151664).

Almost surely, 2^1657628145 is an apocalyptic number.

1657628145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1657628145 is a deficient number, since it is larger than the sum of its proper divisors (1322011791).

1657628145 is an equidigital number, since it uses as much as digits as its factorization.

1657628145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364323 (or 1364311 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1657628145 is about 40713.9797244141. The cubic root of 1657628145 is about 1183.4839449021.

The spelling of 1657628145 in words is "one billion, six hundred fifty-seven million, six hundred twenty-eight thousand, one hundred forty-five".