1833980625 has 45 divisors (see below), whose sum is σ = 3316101789. Its totient is φ = 976410000.

The previous prime is 1833980597. The next prime is 1833980633. The reversal of 1833980625 is 5260893381.

It is a happy number.

The square root of 1833980625 is 42825.

It is a perfect power (a square), and thus also a powerful number.

1833980625 is a `hidden beast` number, since 18 + 3 + 3 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143784081 + 1690196544 = 11991^2 + 41112^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1833980625 - 2²⁵ = 1800426193 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3211590 + ... + 3212160.

Almost surely, 2^1833980625 is an apocalyptic number.

1833980625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1833980625 is the 42825-th square number.

1833980625 is the 21413-rd centered octagonal number.

It is an amenable number.

1833980625 is a deficient number, since it is larger than the sum of its proper divisors (1482121164).

1833980625 is an frugal number, since it uses more digits than its factorization.

1833980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 1833980625 is about 1224.0474338436.

The spelling of 1833980625 in words is "one billion, eight hundred thirty-three million, nine hundred eighty thousand, six hundred twenty-five".